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Physics 107 Worksheet 2
Motion of a Toy Train
A Thomas Train is released along a meter stick and a piece of tape is placed along the train every 2 seconds, showing the position of the train at that point.
Time (s)
Position (cm)
Velocity (cm/s)
Acceleration (cm/s
2
)
0
0
2
5
2.5
4
10
2.5
0
6
15
2.5
0
8
20
2.5
0
10
25
2.5
0
12
30
2.5
0
14
35
2.5
0
16
40
2.5
0
18
45
2.5
0
20
50
2.5
0
22
55
2.5
0
24
60
2.5
0
26
65
2.5
0
28
70
2.5
0
30
75
2.5
0
32
80
2.5
34
85
∆
means “
change in
”, so ∆ x
means change in x. ∆ x
=
x
f
−
x
i
; ∆t
=
t
f
−
t
i
;∆v
=
v
f
−
v
i
Example
:
v
=
∆ x
∆t
=
x
f
−
x
i
t
f
−
t
i
=
x
8
s
−
x
6
s
t
8
s
−
t
6
s
=
20
cm
−
15
cm
8
s
−
6
s
=
5
cm
2
s
=
2.5
cm
s
(This would actually be the
velocity at 7 seconds). a
=
∆v
∆t
Take a Thomas Train and place it along a two-meter stick starting at 0 meters. Allow the train to
move along the two-meter stick and place a tape down every two seconds to mark the position of the train. Fill out the table below.
Time (s)
Position (cm)
Velocity (cm/s)
Acceleration (cm/s
2
)
0
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
1)
Calculate the average speed of the car for the entire “
trip
”
of your data set. (Show
your work; average speed = total distance traveled / total time.)
2)
Calculate the average speed of the car for several smaller time intervals. Compare you results with the average speed for the entire trip and comment on any differences.
3)
Using your results from question 2 what can you say that the instantaneous velocity of the car is at, say, 2 seconds and 5 seconds?
4) Using Excel software create a graph of position versus time and speed versus time for
your car. (We will put this off until I can write up directions for the new Excel)
a.
Calculate the slope of your position versus time graph and interpret what the slope means by thinking about the units the slope has. b.
Comment on the value of the slope and compare the value to the results of your calculations in part 2 above. 5.
Using words and numbers write a short paragraph describing the motion of the toy car that you would have observed. Motion of billiard ball on a ramp
A billiard ball is released down a ramp and a piece of tape is placed on the ramp showing the ball’s position every 2 seconds.
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Related Questions
Q Review / v Fin
ABE
A group is demonstrating an activity to explain speed, velocity and acceleration using three battery operated toy cars on three different tracks to their class. Their teacher wants the class to explain their
observations.
Track 1: This track is straight
Constant speed 10 m/s
Toy car 1 is moving at a constant speed of 10m/s.
Track 2: This track is straight
Constant speed 5 m/s
Toy car 2 is moving at a constant speed of Sm/s
O Time Remaining: 18 minutes
©2021 Illuminate Education TM, Inc.
0901225
esc
8.
@
6.
3.
4.
y
e
W
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A bee flies from a petunia to a marigold at an average speed of 3 feet per second. Immediately upon reaching the marigold the bee turns around and flies back to the petunia at an average speed of 6 feet per second, following his original path. What was the bee’s average speed for the round trip?
a. 3 feet per second
b. 4 feet per second
c. 6 feet per second
d. 4.5 feet per second
arrow_forward
b. You rode a roller coaster with a total path length of 250 meters. After 3 rides, how much is your displacement?
c. A paraglider started to descent in his wingsuit. Knowing that air resistance will be significant to make the paraglider to be safe, which of the following will happen to its acceleration and velocity vectors?
d. A car moving at 100 km/hr along a straight road suddenly hit the brakes. Which of the following is true about the acceleration and velocity vectors?
e. What is the acceleration of a car started from rest, and moved at 10 m/s for 10 s?
arrow_forward
1) Pheromone is a substance emitted by ants while they travel so that others may be able to follow exactly the same direction as the others took. If a zoologist is to measure the distance the ant travels and in what particular direction does it take, how would this quantity be classified?
A. Equilibriant
B. Magnitude
C. Scalar
D. Vector
2) Which of the following statements regarding vectors and scalars is INCORRECT?
A. A scalar quantity may be either positive or negative.
B. A vector that is zero may have components other than zero.
C. It is possible to use vector components that are not perpendicular.
D. Two vectors are equal only if they have the same magnitude and direction.
arrow_forward
Answer the following questions. (True or False)
a. Motion and acceleration are not the same quantity. b. The speed of an accelerated body changes with time. c. A body can be accelerating even when it is not moving. d. The velocity of an accelerated body changes with time. e. The acceleration of a body with zero speed is zero.
arrow_forward
#2
Distance vs. Time Graph
(w) p
60
E 40
20
a
0
0
b
10 20
30 40 50 60
t (s)
5. How far does the object
travel from B to C?
6. How far does the object
travel from D to G?
7. What is the velocity of
the object from C to D?
8. What is the velocity of
the object from F to G?
70
1. In what section is the object
accelerating?
2. In what section is the object
standing still?
3. In what section is the object
Decelerating?
4. In what section is the object
moving backwards?
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DYNAMICS
1. What types of motion explains when a vehicle is traveling along a straight line with a given velocity with respect totime. It is simply define as the distance travelled by a particle moving along the line in the negative or positivedirection.2. This defined as the quotient of the displacement Δx and the time interval Δt.3. This term is sometimes used to refer to “a” when the speed of the decreases; the particle is then moving more slowly.
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4. A jogger warms up by running 350 meters east at an average speed of 3.8 m/s, then running west
240 meters at an average speed of 4.2 m/s.
a. How much time does the first part of the trip take?
b. How much time does the second part of the trip take?
c. How long does the entire trip take?
d. What is the total distance for the entire trip?
e. What is the magnitude of the jogger's displacement for the entire trip?
f. What is the average speed for the entire trip?
g.
What is the magnitude of the jogger's average velocity for the entire trip?
arrow_forward
Quèstion 1
A stone is dropped from top of a building that is 19.6 metres from the ground. Before the stone reaches the ground by one second, how far is it from the ground? (Take magnitude of g-9.8 m/s
O A. 4.9 m
O B. 2.5 m
O. 19.8 m
D. 9.9 m
O E. 1.2 m
A Moving to the next question prevents changes to this answer.
DELL
arrow_forward
1) Which of the following is NOT a scalar quantity?
A. 25 gram coffee
B. 13.5 g/mL density of mercury
C. 1 hectare of land
D. 81 newtons weight on the moon
2) An astronaut needs to walk travel with two displacements with magnitudes 21 cm and 79 cm, respectively. Which of the following is the ONLY choice for the magnitude of the resultant?
A. 0 cm
B. 37 cm
C. 82 cm
D. 114 cm
arrow_forward
Kinematic Universe. Which of the following is/are ALWAYS TRUE?
I. Displacement is a vector quantity that has a magnitude and direction that depends on the
path taken.
II. Average velocity is equal to instantaneous velocity when the acceleration is zero.
II. Instantaneous velocity is the slope of the tangent line in the velocity vs. time graph.
O Il only
O I and Il only
O I l only
O I only
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The graph below shows the distance an object
traveled over time.
Distance Traveled by an Object
100
90
80
70
Y
60
50
40
30
W
20
10
0.
5 10 15 20 25 30 35 40 45 50
Time (s)
Which line segment represents the time interval
during which the object was moving at a positive
constant speed?
B.
segment X
A.
segment W
D. segment Z
C.
segment Y
Distance (m)
arrow_forward
will someone please help me with this physics questions?
Part A: draw a detailed motion diagram to this question: An object covers a distance of 8 m in the first second of travel, another 8 m during the next second, and 8 m again during the third second the objects acceleration is ?
1. 5m/s
2. 1.2 m/s
3. 9.8 m/s
4. 11.0 m/s
5. 11.760 m/s
Part B
A steel ball is dropped from a diving platform from rest. Given that g=9.8 m/s^2, what is the velocity of the ball 1.2 seconds after it's release? (Ignore air resistance)
1. 0 m/s
2. 1.2 m/s
3. 9.8 m/s
4. 11.0 m/s
5. 11.76 m/s
Part C:
(Notice this is different from part B) A steel ball is dropped from diving platform from rest. Given that g=9.8 m/s^2, how far does it fall in the first 1.2 seconds of its flight ignoring air resistance.
1. 5.880 m
2. 7.056 m
3. 11.760 m
4. 14.112 m
arrow_forward
2. The graph to the right shows the position vs. time graph for
two objects (the solid line for object A and the dashed line for
object B).
a. Do the two objects ever have the same velocity? If so, at
what time? How do you know?
8
6
4
2
0
x (m)
B
A
12
-
3
1
4
t(s)
arrow_forward
1.A train covers 60 miles between 2pm to 4pm.How fast it was going at 3pm
2.A car is accelerating at 12 m/s2 finds it acceleration in km/hr2
3.Airlner reaches at a state speed at 163 miles/hr in 36.2 seconds.What is the magnitude average acceleration
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Speed of a car The accompanying figure shows the time-to-
distance graph for a sports car accelerating from a standstill.
P
650
600
500
E 400
300
200
100
5
10
15
20
Elapsed time (sec)
a. Estimate the slopes of secant lines PQ,, PQ2, PQ3, and PQ4,
arranging them in order in a table like the one in Figure 2.6.
What are the appropriate units for these slopes?
b. Then estimate the car's speed at time t = 20 sec.
Distance (m)
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1. Refer to the velocity-time graph of a jogger. The positive direction is away from
the jogger's home. Rank the four distances for the time intervals, A, B, C, D in
decreasing order. Explain your answer.
20
15
10
C
A
0.
30
40
50
20
Time (s)
10
2. Sketch a velocity-time graph for the following motions: a) a city bus that
is moving at constant velocity; b) a wheelbarrow that is slowing down at a
constant rate of acceleration while moving in a negative direction
Speed (m/s)
25
arrow_forward
Read the following statements related to the concept of acceleration:
1. Describe the change in position of an object over time.
II. Describe how the speed of an object changes over time.
III. Describe the rate of change of time with respect to the position.
IV. It is a scalar quantity.
From the above statements are false which are represented as:
a) 1, II AND IV
b) II AND IV
c) IAND II
d) 1, I AND IV
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A fish swimming at a constant speed of 0.5 m/s suddenly notices a shark appear behind it. Five seconds later, the fish is swimming in the same direction at a speed of 2.5 m/s. What is the can you conclude about the fish’s motion?
a. The fish is accelerating.
b. The fish is decelerating.
c. The fish's velocity is constant.
d. Cannot be determined.
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1. An object covered a certain distance in a given period of time. Which of the following quantity is used to describe the object’s motion?A. Acceleration B. Displacement C. Speed D. Velocity
2. As part of your healthy activity during the pandemic, your family conducted a fun walk inside your backyard after the morning exercise. How will you determine who is the fastest family member? A. Add the distance and the time. B. Subtract the distance from the given time. C. Multiply the distance and the time of travel. D. Divide the distance traveled with the given time.
3. Why is velocity considered a vector quantity? A. It is the rate of change in position of an object in a particular direction. B. It has magnitude only and do not consider the direction of motion. C. It describes the rate of change in speed of a body in a given direction. D. It tells how fast an object is moving.
4. Which of the following statements about speed and velocity is NOT TRUE?A. The unit of speed and velocity are…
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If the velocity is constant towards the right direction, the graph of displacement x vs time t is a
A. line with a positive slope.
B. line with negative slope.
C. parabola in the first quadrant.
O D. parabola in the 4th quadrant.
An object is moving towards the right direction. Velocity is constant. The graph of velocity vs time t
is a line
O A. along the t axis
B. parallel to the t axis
C. parallel to the v axis.
O D. with nonzero slope.
Velocity of a moving object is towards the right. Velocity is constant. The graph of acceleration a vs
time t is a
A. line parallel to the acceleration a axis.
B. line along the acceleration a axis.
C. line along the t-axis.
OD.line with positive slope.
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Arvin the Ant is on a picnic table. He travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is the magnitude of Arvin’s net displacement? a.70 cm b.57 cm c.52 cm d.29 cm
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A car accelerates uniformly from zero to 12 m/sec² in 8 seconds starting from rest. During the next 4 seconds, the car decelerates uniformly at a constant rate of 11 m/s². Use motion diagrams.
1. which of the following gives the distance travelled after 10 seconds?
a. 202m
b. 232m
c. 230m
d. 222m
b. which of the following gives the velocity of the car after 12 seconds?
a. 2 m/s
b. 5 m/s
c. 4 m/s
d. 3 m/s
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Question 6
The position of an object as a function of time is given by x = br² - ct, where
b = 2.0 m/s² and c = 6.7 m/s, and x and t are in SI units. What is the instantaneous
velocity of the object when 1 = 2.2?
A) 2.3 m/s
B) 2.1 m/s
C) 1.7 m/s
D) 2.7 m/s
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Two trains travel in the opposite direction from the station. Train A travels at the average speed of 40 kph while train B at the average speed of 50 kph. What is the distance between the two trains at the end of 2 hrs?
a. 180 km
b. 90 km
c. 45 km
d. 20 km
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a. Supposed that this is a motion plot of a car. What is the velocity of the car?
b. Supposed that this is a motion plot of a car. What is the acceleration of the car?
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1. Describe the motion of an object:
a. if the direction of the acceleration is the same as the direction of motion of the object.
b. if the direction of the acceleration is opposite to the direction of motion of the object.
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5. The x-location and y-location of a particle are described by the following equations, where x and y are
in meters and time is in seconds:
x = 4e-t
y = 2 + 8e
-2t
a. What is the equation of the particle's path in the x-y plane?
b. What are the (x,y) coordinates of the particle at time=0 and as time → ∞o?
c. What is the speed of the particle at time=0?
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sics 101
SICS
0780938042
Aljall saal
R1) An object has a position given by r = [2+3t)i+ [3- 2t21j. What is the
peed of the object at time t = 1s ?
A) 4 m/s
B) 10 m/s
C) 5 m/s
D) 8 m/s
R2) A projectile is fired from ground with an initial velocity v = 30i +
Oj m/s and returns to the ground. Find the horizontal range of the
rojectile.
A) 60 m
B) 30 m
C) 120 m
D) 40 m
23) At t = 0, a particle leaves the origin with a velocity of 10 m/s in the
ositive y direction and moves in the xy plane with a constant acceleration
f (2i - 4j) m/s2. At the instant the x coordinate of the particle is 25 m,
Vhat is the speed of the particle ?
C) 10 m/s
D) 16 m/s
) 14 m/s
B) 12 m/s
24) A boy on the edge of a building 20m high throws a stone horizontally
rith a speed of 25m/s. At what horizontal distance from the building it
trikes the ground ?
C) 60 m
D) 50 m
-) 25 m
B) 35 m
5) A car moves with constant speed around the circle as shown. When it
at point A its coordinates are x = 0, y = 3m and its velocity…
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- Q Review / v Fin ABE A group is demonstrating an activity to explain speed, velocity and acceleration using three battery operated toy cars on three different tracks to their class. Their teacher wants the class to explain their observations. Track 1: This track is straight Constant speed 10 m/s Toy car 1 is moving at a constant speed of 10m/s. Track 2: This track is straight Constant speed 5 m/s Toy car 2 is moving at a constant speed of Sm/s O Time Remaining: 18 minutes ©2021 Illuminate Education TM, Inc. 0901225 esc 8. @ 6. 3. 4. y e Warrow_forwardA bee flies from a petunia to a marigold at an average speed of 3 feet per second. Immediately upon reaching the marigold the bee turns around and flies back to the petunia at an average speed of 6 feet per second, following his original path. What was the bee’s average speed for the round trip? a. 3 feet per second b. 4 feet per second c. 6 feet per second d. 4.5 feet per secondarrow_forwardb. You rode a roller coaster with a total path length of 250 meters. After 3 rides, how much is your displacement? c. A paraglider started to descent in his wingsuit. Knowing that air resistance will be significant to make the paraglider to be safe, which of the following will happen to its acceleration and velocity vectors? d. A car moving at 100 km/hr along a straight road suddenly hit the brakes. Which of the following is true about the acceleration and velocity vectors? e. What is the acceleration of a car started from rest, and moved at 10 m/s for 10 s?arrow_forward
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