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PHYS2091
Unit 4 AS: Homework 4
Description:
The purpose of this assignment is to develop problem-solving skills using real-life examples. The
students will engage in problems ranging from everyday activities to the applications of physics in biology.
Instructions:
This assignment has 15 questions of various complexities. Upload your answers as a single PDF file on Blackboard.
35 points CSLO 1 (a – e), 2, 3
1.
(3 points)
(a) Calculate the work done on a 1500-kg elevator car by its cable to lift it 40.0 m at constant speed, assuming friction averages 100 N. [(1500)(9.8)+100] x 40= 5.92x10^2J
(b) What is the work done on the lift by the gravitational force in this process? (1500)(9.8)(40)= 5.88x10^5J
(c) What is the total work done on the lift? 0J
2.
(5 points)
A shopper pushes a grocery cart 20.0 m at constant speed on level ground, against
a 35.0 N frictional force. He pushes in a direction 35.0° below the horizontal. (a) What is the work done on the cart by friction? (35)(20)cos(180)= -700J
(b) What is the work done on the cart by the gravitational force? (20)cos(90)= 0J
(c) What is the work done on the cart by the shopper? (-700)-0 = 700J
(d) Find the force the shopper exerts, using energy considerations. 700/(20)cos(35)= 38.7N
(e) What is the total work done on the cart? 0J
3.
(2 points)
(a) Calculate the force needed to bring a 950-kg car to rest from a speed of 90.0 km/h in a distance of 120 m (a fairly typical distance for a non-panic stop). –(950)[(90)(1000/1)
(1/3600)]^2/2(120)= -2.474x10^3N
(b) Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a). -(950)
[(90.0) (1000/1) (1/3600)]/ 2(2.0) = -1.484 x 10^5N
-1.484 x 10^5/ -2.474 x10^3= 60 N
4.
(1 point)
A car’s bumper is designed to withstand a 4.0-km/h (1.12-m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by
absorbing the force over a distance. Calculate the magnitude of the average force on a bumper that collapses 0.200 m while bringing a 900-kg car to rest from an initial speed of 1.12 m/s. 900/2(0.200)((0)-1.1)^2)= 2722.5N
5.
(2 points)
Suppose a 350-g kookaburra (a large kingfisher bird) picks up a 75-g snake and raises it 2.5 m from the ground to a branch. (a) How much work did the bird do on the snake? (75x10^-3)(9.8)(2.5)= 1.837J
(b) How much work did it do to raise its own center of mass to the branch? (0.350)(9.8)(2.5)= 8.575J
6.
(1 point)
A 5
×
10
5
kg subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. What is the force constant k
of the spring? (5.00x10^5)(0.5)^2/(0.400)= 7.812x10^5N/m
7.
(2 points)
A car is traveling at 10 m/s. (a) How fast would the car need to go to double its kinetic energy? 14.14m/s
(b) By what factor does the car’s kinetic energy increase if its speed is doubled to 20 m/s? Factor=
K
1/
K
2 = 200/50
= 4
8.
(2 points)
(a) What is the kinetic energy of a 1,500 kg car traveling at a speed of 30 m/s? ½ (1500)(30)^2= 67.5x10^5J
(b) From what height should the car be dropped to have this same amount of kinetic energy just before impact? (30)^2/2(9.8)= 45.92m
9.
(1 point)
Melissa drags a 23 kg duffel bag 15 m across the gym floor. If the coefficient of kinetic friction between the floor and the bag is 0.18, how much thermal energy does Melissa create? W
= 40.6134 ×15=609.201 J
10.
(4 points)
A 2.3 kg box, starting from rest, is pushed up a ramp by a a10 N force parallel to the ramp. The ramp is 2.0 m long and tilted at 17°. The speed of the box at the top is 0.80 m/s. (a) How much work is done by the force on the system (box + ramp + Earth)? 20J
(b) What is the change in kinetic energy of the system? ½(2.3)(0.8)^2= 0.736J
(c) What is the change in gravitational potential energy of the system? 2.3(9.8)(2.0sin17)= 13.194J
(d) What is the change in thermal energy of the system? 6.07J
11.
(3 points)
A 50 kg sprinter, starting from rest, runs 50 m in 7.0 s at constant acceleration. (a) What is the magnitude of the horizontal force acting on the sprinter? 2(50)/(7.0)^2= 2.04m/s^2
(b) What is the sprinter’s average power output during the first 2.0 s of his run? (102)(4.08)/2= 208.1W
(c) What is the sprinter’s average power output during the final 2.0 s? (102)(24.5)/2= 1249.5W
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Related Questions
ASSESSMENT TIME!
Deriction: Solve the following problems using Polya's four-step problem-solving strategy.
1. A baseball team won two out of their last four games. In how many different orders could they have two wins and two losses in your games?
▫Understand the problem
▫Devise a plan
▫Carry out the plan
▫Review the solution
2. Determine the digit 100 places to the right of the decimal point in the decimal representation 7/24.
▫Understand the problem
▫Devise a plan
▫Carry out the plan
▫Review the solution
3. The product of the ages,in year's of three teenagers is 4590. None of the teens have the same age. What are the ages of the teenagers?
▫Understand the problem
▫Devise a plan
▫Carry out the plan
▫Review the solution
arrow_forward
Please answer #18
Analyze the problems carefully, then solve them. Be systematic when answering. Write the given, label them; the required; and all calculations pertinent to the problem. Express your numerical answers with the appropriate number of significant figures.
arrow_forward
Q3: Consider evaluation of different temperatures of solar photovoltaic/thermal system
(PVT) as shown in Figure 1(a). The following set of differential equations represent
energy balance equations to be solve using matrices and eigenvalues using MATLAB
(or Octave):
dTglass = -0.75Tolass + 0.75TpvtT
dt
(1)
dTpyT
= -
dt
1.18Tglass – 22TPVT + 23Twax
(2)
dTwax
= 127glass + 18Tpyt – 19 Twax
dt
(3)
Where, Tatass, Tpyr, and Twax, are temperatures illustrated in Figure 1(b). At time t=0 the initial
conditions are Tatass = 35 , TpyT = 33, and Twax = 31 °C.
Call seppty
Ia tree water
Tank
Glass
PVT
Expu
Nane PCMPVT Callector
Tub
Tepe
Sterg Tak
e Ma
Nanou
Hest Eschanger
Container
Teket
vae
Pump
for draie
(a)
(b)
Figure 1. (a) Schematic diagram of the nano-PCM and nanofluid PVT system, (b) mathematical model in context of the
PVT collector: glass, PV, wax layer and tube coil, respectively [1].
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1selde 16544025&OpenVellumHMAC=4a2df41ba478ba143188f2d005dd72fb#10001
ouTube M Gmail
O Maps
O Web design tutori.
W MATH180: HW08-.
Problem 10.38
8 of 8 >
Consider the process shown in (Figure 1). Suppose
E1 = 2 J.
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Part A
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6 identical spherical water droplets of radius 22 mm combine to form a single spherical droplet Determine the radius of the combined droplet to 3 significant figures.
Part A
Iνα ΑΣΦ
mm
arrow_forward
Po = 25 uc/m³ is distributed uniformly through a certain region. If V=50 at y = 2 and V=
90 at y = 5, &, = 2.
a- Give the solution and calculate V, E.
b- Draw V, Ē, IE with respect to y-axis.
c- Now if p₂ = 0, give the solution and calculate V, Ē.
arrow_forward
Part A
Learning Goal:
To understand and use exponential decays.
Exponential decay occurs when a quantity y is
proportional to the number e taken to the power
-t/T. The quantity T is known as the time
constant. So we say that y equals A times the
quantity (e to the power of minus t over T) and
write this mathematically as
y = Ae-T/T,
where A is a constant.
SCALING Whenever t increases by one time
constant, y decreases by a factor of 1/e. For
instance:
• At time t = 0, y = A.
• Increasing time to t = 7, reduces y
to A/e.
⚫ A further increase to t = 2T reduces
y by another factor of 1/e to A/e².
Generally, we can say:
At t = nT, y has the value A/en.
LIMITS As t becomes large, y becomes very small
and approaches zero.
Consider the case when the constant A = 3 and 7 = 4. Plot the graph of y = 3e-t/4 at each available point from
t = 0 to t = 10.
+
*
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4.0
3.0
y
2.0
1.0
0
2.0
4.0
6.0
8.0
10.0
t
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How to solve it?
Step by step plz
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Practice Task 1.
Consider the following satements below. Express each number in standard notation or in scientific notation as indicated. Express your solution.
1. The length of an electronic component is 0.0001265 mm. Write this in scientific notation.
2. The diameter of human immunodeficiency virus (HIV) os 0.00012 mm. What is the diameter if HIV in scientific notation?
3. Rocks around Mayon Volcano aged more than 20 000 000 years old. Express this number in scientific notation.4. The friction between the ocean and the ocean floor due to tides is causing the Earth's rotation to slow down by about 2 x 10-8 seconds per day. What real number is equivalent to 2 x 10-8?5. The radius of a hydrogen atom is 2.5 x 10-11, Express this number in standard notation.
arrow_forward
Growth of yeast cells In a controlled laboratory experiment,
yeast cells are grown in an automated cell culture system that
counts the number P of cells present at hourly intervals. The num-
ber after t hours is shown in the accompanying figure.
250
200
150
100
50
0 1 2 3 4 5 6 7
a. Explain what is meant by the derivative P'(5). What are its
units?
b. Which is larger, P'(2) or P'(3)? Give a reason for your
answer.
c. The quadratic curve capturing the trend of the data points
(see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43.
Find the instantaneous rate of growth when t = 5 hours.
arrow_forward
Write an explanation or narration about the given problem why the problem got these answers shown in the photos. Narrate the solution in the given picture below. The narration must include the following parts:
1. Dissect the problem by explaining the illustration
2. Identify the given variables and the required ones
3. Explain the solution
4. Double check the solution by explaining why the values makes sense or using another way to verify the answer.
Problem: (The answer to this question is in the given picture)
When a 58-g tennis ball is served, it accelerates from rest to a speed of 45 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 44 cm. What is the magnitude of the net force acting on the ball?
arrow_forward
Write an explanation or narration about the given problem why the problem got these answers shown in the photos. Narrate the solution in the given picture below. The narration must include the following parts:
1. Dissect the problem by explaining the illustration
2. Identify the given variables and the required ones
3. Explain the solution
4. Double check the solution by explaining why the values makes sense or using another way to verify the answer.
Problem: (The answer to this question is in the given picture)
1. A car travels to the east at a constant 50 km/h for 100 km. It then speeds up to 100 km/h and is driven another 100 km.
a. How long did the car took to travel 100 km at a speed of 50 km/h? Ans. 2.0 h
b. What is the car’s average velocity during the time interval? Ans. 67 km/h (E]
arrow_forward
Write an explanation or narration about the given problem why the problem got these answers shown in the photos. Narrate the solution in the given picture below. The narration must include the following parts:
1. Dissect the problem by explaining the illustration
2. Identify the given variables and the required ones
3. Explain the solution
4. Double check the solution by explaining why the values makes sense or using another way to verify the answer.
Problem: (The answer to this question is in the given picture)
A person with a black belt in karate has a fist that has a mass of 0.70 kg. Starting from rest, this fist attains a velocity of 8.0 m/s in 0.15 s. What is the magnitude of the average net force applied to the fist to achieve this level of performance?
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6.4.
Which one of the following equations is dimensionally homogenous? Show your
proof.
a.
F = ma
b.
F=m
F(t, -1)= m(V-)
d.
F.
(V-V)
F = m
e.
(1,-4)
where
F-force (N)
mmass (kg)
a acceleration (m's)
V velocity (m's)
R-radius (m)
lime (s)
arrow_forward
Force on q, by q, = 79.889N
Force on q, by q, = 79.889N
91
O cm
3
4
5
7
8
10
Charge 1
Charge 2
Force Values
-4 μC
2 μ
Scientific Notation
-10
10
-10
10
1 cm
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1.
An m-mass body slides a distance of d along a horizontal surface. The work done by the force
of gravity is:
а.
mgd
b.
Zero
-mgd
(mg sene)d
С.
d.
е.
none of the above
2.
Total work on a body is positive if:
the resulting force has the same direction of displacement
Theresulting force is perpendicular to displacement
Theresulting force has opposite direction to displacement
Theresulting force is zero
the object does not move
a.
b.
С.
d.
е.
3.
The unit of kinetic energy can be expressed as:
kgm/s
kgm/s?
m/(kgs)
kgs?
2/s'kgs?
а.
b.
С.
d.
е.
A…
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Pls help ASAP. Pls show all work and calculations and include units for final answers.
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Pls help ASAP. Pls show all work and explain thoroughly on what equation is being used and how you come up with the answer. Also, pls underline or square the final answers.
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Need a good explanation and step by step solution for this problem, not just copied out of the solutions manual.
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w = FjAc = F .Aë , W = m(v;)* - m(u,)* , v
1
zm(us)* - m(v,)* , W =
Problem 1: (a) Ã = 3â – 2ŷ, B = 4â& – 5ŷ. Ã ·B =? Answer: 22
(b) Ã = -2â + 4ŷ, B = 3âu – lŷ. Ā·B =? Answer: –10
(c) à = 5â – 3ŷ, B = -3â – 5ŷ. ÷B =? Answer: 0
1
| F,dx , W =
F. dř , F,
dU
W = -AU
dx
d = 4m
F = 20 N
0 = 30°
m = 4 kg
Hk = 0.5)
m = 2 kg
F = 40 N
Hk = 0.2
Ө — 30°
Problem 2: In the figure above on the left we have a force F = 20 N pulling a box to the right at an angle
0 = 30° above the horizontal. The box has a mass m = 2 kg, the coefficient of kinetic firction between the
box and the ground is uk = 0.2, and the block moves a distance d = 4 m to the right.
(a) What is the work done by the force F? Answer: 69.3 J
(b) What is the normal force from the ground? Use g = 10 m/sec² Answer: 10 N
(c) What is the work done by the kinetic friction force? Answer: -8 J
(d) What is Wnet, the net work done on the box? Answer: 61.3 J
(e) The box has an initial speed of 4 m/sec. What is the speed of the box after it has…
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Please use the origin (0,0) as the starting point of the graph and 2pi on the x-axis as the point where th
graph ends.
Find a function of the form y = Asin(x) or y = Acos(x) whose graph matches the function below.
51
37/2
-2
-3
-4
-5+
Give an exact answer using fractions and/or multiples of pi as necessary.
y =
OType here to search
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STATISTICAL AND THERMAL PHYSICS
PLEASE HELP ANSWER ALL QUESTIONS
(a) Describe some of the simple thermometers with which you are familiar.
(b) On what physical principles do these thermometers operate?
(c) What requirements must a thermometer have to be useful?
all
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2022-04-27 Page: 1 of 1
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E E E E
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According to Timothy Treadwell in 2001 "Now, the bears I live with average, the
males are on average twelve hundred pounds. They're the largest bears in the
world and they've been clocked at 41 [mph] and they've run a hundred meter
dash in 5.85 seconds which human on stimulants doesn't even approach.
a. Compute the speed of a grizzly bear using Mr. Treadwell's hundred-meter
statement.
b. Compute the momentum of a grizzly bear using the speed you calculated in
part a. and the average mass stated by Mr. Treadwell.
c. How fast would a 250 lb man have to run to have the same momentum you
calculated in part b?
d. How fast would a 4000 lb car have to drive to have the same momentum you
calculated in part b?
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For the following compartment model, what is the numerical value of the derivative (in Bq/hr) at t=0, 10, and 100 hours if q(0) = 100 Bq and k = 0.02/hr? Be mathematically precise here.
Q--k->
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if E = ((4,5+ j9, 8)â, + (2,5 + j9, 9)ây )e-Jör², T=-0,5 and n1=4,7, then |Pa, " =?|
%3D
O a. 2595,054 W
O b. 110,275 W
O c. 5174,713 W
d. 5,866 W
e. 2,840 W
arrow_forward
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- ASSESSMENT TIME! Deriction: Solve the following problems using Polya's four-step problem-solving strategy. 1. A baseball team won two out of their last four games. In how many different orders could they have two wins and two losses in your games? ▫Understand the problem ▫Devise a plan ▫Carry out the plan ▫Review the solution 2. Determine the digit 100 places to the right of the decimal point in the decimal representation 7/24. ▫Understand the problem ▫Devise a plan ▫Carry out the plan ▫Review the solution 3. The product of the ages,in year's of three teenagers is 4590. None of the teens have the same age. What are the ages of the teenagers? ▫Understand the problem ▫Devise a plan ▫Carry out the plan ▫Review the solutionarrow_forwardPlease answer #18 Analyze the problems carefully, then solve them. Be systematic when answering. Write the given, label them; the required; and all calculations pertinent to the problem. Express your numerical answers with the appropriate number of significant figures.arrow_forwardQ3: Consider evaluation of different temperatures of solar photovoltaic/thermal system (PVT) as shown in Figure 1(a). The following set of differential equations represent energy balance equations to be solve using matrices and eigenvalues using MATLAB (or Octave): dTglass = -0.75Tolass + 0.75TpvtT dt (1) dTpyT = - dt 1.18Tglass – 22TPVT + 23Twax (2) dTwax = 127glass + 18Tpyt – 19 Twax dt (3) Where, Tatass, Tpyr, and Twax, are temperatures illustrated in Figure 1(b). At time t=0 the initial conditions are Tatass = 35 , TpyT = 33, and Twax = 31 °C. Call seppty Ia tree water Tank Glass PVT Expu Nane PCMPVT Callector Tub Tepe Sterg Tak e Ma Nanou Hest Eschanger Container Teket vae Pump for draie (a) (b) Figure 1. (a) Schematic diagram of the nano-PCM and nanofluid PVT system, (b) mathematical model in context of the PVT collector: glass, PV, wax layer and tube coil, respectively [1].arrow_forward
- 1selde 16544025&OpenVellumHMAC=4a2df41ba478ba143188f2d005dd72fb#10001 ouTube M Gmail O Maps O Web design tutori. W MATH180: HW08-. Problem 10.38 8 of 8 > Consider the process shown in (Figure 1). Suppose E1 = 2 J. I Review I Constants Part A What is the final kinetic energy of the system for the process shown in the figure? Sharing Express your answer with the appropriate units. gs HÀ ? ols > K; = Value Units Figure Submit Request Answer < Return to Assignment Provide Feedback E (J) 4E, 3E, ЗЕ, 2E E, %3D K, + U, + West = K, + U, + AE %3D ext P Pearson un.masteringphysics.com/myct/itemView?assignmentProblemID=15049450o5 Show All Document (..pdf MacBook Pro DD $12 DI F11 F10 F9 FB 000 F6 F7 F5 F4 F3 F2 F1 & delete %3D %24arrow_forward6 identical spherical water droplets of radius 22 mm combine to form a single spherical droplet Determine the radius of the combined droplet to 3 significant figures. Part A Iνα ΑΣΦ mmarrow_forwardPo = 25 uc/m³ is distributed uniformly through a certain region. If V=50 at y = 2 and V= 90 at y = 5, &, = 2. a- Give the solution and calculate V, E. b- Draw V, Ē, IE with respect to y-axis. c- Now if p₂ = 0, give the solution and calculate V, Ē.arrow_forward
- Part A Learning Goal: To understand and use exponential decays. Exponential decay occurs when a quantity y is proportional to the number e taken to the power -t/T. The quantity T is known as the time constant. So we say that y equals A times the quantity (e to the power of minus t over T) and write this mathematically as y = Ae-T/T, where A is a constant. SCALING Whenever t increases by one time constant, y decreases by a factor of 1/e. For instance: • At time t = 0, y = A. • Increasing time to t = 7, reduces y to A/e. ⚫ A further increase to t = 2T reduces y by another factor of 1/e to A/e². Generally, we can say: At t = nT, y has the value A/en. LIMITS As t becomes large, y becomes very small and approaches zero. Consider the case when the constant A = 3 and 7 = 4. Plot the graph of y = 3e-t/4 at each available point from t = 0 to t = 10. + * 血 No elements selected 4.0 3.0 y 2.0 1.0 0 2.0 4.0 6.0 8.0 10.0 tarrow_forwardHow to solve it? Step by step plzarrow_forwardPractice Task 1. Consider the following satements below. Express each number in standard notation or in scientific notation as indicated. Express your solution. 1. The length of an electronic component is 0.0001265 mm. Write this in scientific notation. 2. The diameter of human immunodeficiency virus (HIV) os 0.00012 mm. What is the diameter if HIV in scientific notation? 3. Rocks around Mayon Volcano aged more than 20 000 000 years old. Express this number in scientific notation.4. The friction between the ocean and the ocean floor due to tides is causing the Earth's rotation to slow down by about 2 x 10-8 seconds per day. What real number is equivalent to 2 x 10-8?5. The radius of a hydrogen atom is 2.5 x 10-11, Express this number in standard notation.arrow_forward
- Growth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.arrow_forwardWrite an explanation or narration about the given problem why the problem got these answers shown in the photos. Narrate the solution in the given picture below. The narration must include the following parts: 1. Dissect the problem by explaining the illustration 2. Identify the given variables and the required ones 3. Explain the solution 4. Double check the solution by explaining why the values makes sense or using another way to verify the answer. Problem: (The answer to this question is in the given picture) When a 58-g tennis ball is served, it accelerates from rest to a speed of 45 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 44 cm. What is the magnitude of the net force acting on the ball?arrow_forwardWrite an explanation or narration about the given problem why the problem got these answers shown in the photos. Narrate the solution in the given picture below. The narration must include the following parts: 1. Dissect the problem by explaining the illustration 2. Identify the given variables and the required ones 3. Explain the solution 4. Double check the solution by explaining why the values makes sense or using another way to verify the answer. Problem: (The answer to this question is in the given picture) 1. A car travels to the east at a constant 50 km/h for 100 km. It then speeds up to 100 km/h and is driven another 100 km. a. How long did the car took to travel 100 km at a speed of 50 km/h? Ans. 2.0 h b. What is the car’s average velocity during the time interval? Ans. 67 km/h (E]arrow_forward
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