A particle moves along the x axis. Its position is givenby the equation x = 2 + 3t – 4t°, with x in meters andtin seconds. Determine (a) its position when it changesdirection and (b) its velocity when it returns to theposition it had at t= 0.

The position of a particle is givne as : x = 2 + 3t - 4t2The velocity is given by the formula : v =…

A particle moves along the x axis. Its position is given by the equation x = 2 + 3t – 41², with xin meters and in seconds. Determine (a) its position when it changes direction and (b) its velocity when it returns to the position it had at t= 0,

A particle moves along the x axis. Its position is given by the equation x = 2 + 3t – 41², with xin meters and in seconds. Determine (a) its position when it changes direction and (b) its velocity when it returns to the position it had at t= 0,

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 12CQ: Can the magnitude of a particle’s displacement be greater that the distance traveled?

See similar textbooks

Related questions

Q: A point moves along the curve y = 16 x (x and y in meters) in such a manner that the y coordinate of…

A: The rate of change of position is given by the velocity.

Q: A particle moving along the x axis has a position given by x = (24t – 2.0t 3) m, where t is measured…

A: Given: Position of the particle, x = 24t - 2t3 , where time (t) is mesured in second (s) and…

Q: A particle moving along a straight line such that when (t = 0), the position (S = 8 m) and the…

Q: When a particle along the x-axis has a position of x(t) = t3 - 4t² + 3t in meters, what is its…

Q: If the velocity, in feet per second, of a particle at time t, in seconds, is described by the…

A: Given value--- v(t)=9t3−27t+12 . We have to find--- acceleration when t = 4 sec ?

Q: Starting at timet = 0, an object starts moving along a straight line. Its coordinate in meters is…

Q: A tourist drops (from rest) a ping pong ball from the top of the tower, which has a height of 524…

Q: In a slap shot, a hockey player accelerates the puck from a velocity of 6.5 m/s to 39 m/s in one…

A: The acceleration for the given case is v=u+ata=v-ut=39m/s-6.5 m/s0.0329 s=987.84 m/s2

Q: An object's position as a function of time in one dimension is given by the expression; x(t) = 4.7t?…

A: Given data The object's position as a function of time is xt=4.7t2+6.29t+12.8. The instantaneous…

Q: A westbound car on the PA turnpike passes the exit for the northeast extension traveling at 16.2…

A: Let positive direction is in the east direction.

Q: If the velocity of an object is given by V = 9* t*2.1*t* +7, when x0 = 4, what is its displacement…

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

Q: Suppose a particle has velocity given by v(t) = sin(t). What is the net displacement of the particle…

Q: A particle's position is given by x=4.00t2-3.00t+6.00, with x in meters and t in seconds. What is…

Q: The position of a particle moving along an x axis is given by x = 16.0t² - 5.00t³, where x is in…

A: The given position function is, x=16t2-5t3 The position at t = 6 s is, x6=1662-563x6=576-1080x6=-504…

Q: A particle moves along the x-axis according to the equation * = 2+ 3t – t² , where x is in meters…

Q: There was a juggling contest in Harvard University during their intramurals. A juggler throws a ball…

A: As given ball reach the juggler hand so net displacement in vertical direction is zero. Thus Y =0…

Q: A particle moving along the a-axis has its position described by the function x = (4.00t – 5.00t +…

A: Given data: x = (4.00t3 - 5.00t + 5.00) m Time t in seconds

Q: Starting at time t = 0, an object starts moving along a straight line. Its coordinate in meters is…

Q: Daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up…

A: Time (T) = 2uSin46° / g = (2×34.1×Sin46°)/9.8 T = 5 sec. Now, range R = u2Sin(2×46°) /g R =…

Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…

A: (a) Rewrite the express for the velocity.

Q: A hockey puck glides across the ice at 32.5 m/s, when a player whacks itwith her hockey stick,…

A: The given values are,

Q: An electron with an initial velocity Vo=9.00x10$ m/s enters a region of length L=1.00 cm where it is…

Q: The height of an object thrown upward from the roof of a building 408 ft. tall, with a initial…

Q: The

Q: A person walks up a stalled 15-m-long escalator in 90 s. When standing on the same escalator, now…

A: The speed of the walking person is The speed of the escalator is

Q: - A particle moves along a straight line with a velocity v = (400s) mm/s, where s is in millimeters.…

Q: A particle with instantaneous velocity V = (2i + 33 + æk) m/s and instantaneous acceleration d = 3ì…

A: Given data: Instantaneous velocity of the object is V→=2i^+3j^+xk^ m/sInstantaneous acceleration of…

Q: A person_walks 400m North 150m East and then 25om Sou th in 800 seconds as shown.

Q: An object moves along a straight line with a velocity v = (12 – 3t²) m/s, where t is in seconds.…

A: Given: velocity of object, v=12-3t2 m/s In time, t=1 s the displacement is , x= -10 m

Q: Automobiles A and B are traveling in adjacent highway lanes and at t=0 have the positions and speeds…

Q: A particle moves along the x-axis according to the equation x = 2.00 +3.00t -1.00t^2, where x is in…

A: Given data: Position of the particle as function of time x = 2.00 + 3.00t - 1.00t2 Time (t) = 3.00…

Q: An object is initially moving in the x-direction at 2.9 m/s when it undergoes acceleration in the…

A: Data provided: Initial velocity in x-direction (v0x) = 2.9 m/s Initial velocity in y-direction (v0y)…

Q: A particle travels along the x-axis such that its velocity is given by v(t)=t^{1.8}cos(2t). What is…

Q: The height of a helicopter above the ground is given by h = 3.15t^3, where h is in meters and t is…

A: Finding the time taken by the mailbag to reach the ground.Given information:The expression of height…

Q: The function x (t) = -2.11e-1.93t describes the position, in meters, of a particle on the x-axis as…

A: We know that instantaneous velocity of a particle is defined as vins=dxdt where x is the position…

Q: An electron moving along the x axis has a position given by x = 17.0 te-t m, where t is in seconds.…

Q: The position of a particle moving along the x axis is given by x =21 + 22t - 6tm, where tis in s.…

Q: A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion,…

A: Given thatFor first 4sec of its motion, the average velocity of the car (v)=6.25 m/sec. It is…

Q: An unknown particle is moving at 5.00 m/sec, East and then 8.00 m/sec, Southwest. Calculate the…

Q: A train moves at a velocity of v (t) = 3t2 - 3200t km/sec where t in seconds is the time passed…

A: The velocity of the train is given by : v(t) = 3t2 - 3200t kmsecwhere t is the time in seconds since…

Q: A particle is moving with velocity vo when s = 0 and t = 0. If it is subjected to a deceleration of…

A: Recall dvdt=ads/dt=v

Q: A marching band player walks directly north at a speed of 2.50 m/s for a time of 12.0 seconds, turns…

A: Solution: Given that: band player walks directly north at a speed of 2.50 m/s for a time of 12.0…

Q: A ball has coordinates x = t2 – 3t + 20 and y = 2 + 3t given in inches, wheret is in seconds. Find…

A: The components of velocity and the position are related as vx = dxdt vy = dydt The components of…

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

A particle moves along the x axis. Its position is given
by the equation x = 2 + 3t – 4t°, with x in meters and
tin seconds. Determine (a) its position when it changes
direction and (b) its velocity when it returns to the
position it had at t= 0.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A juggler throws a ball straight up into the air. If the ball returnsto its original position in the juggler’s hand in 0.98 s, what was itsmaximum height above the juggler’s hand?
A car is traveling east at 25.0 m/s when it turns due north andaccelerates to 35.0 m/s, all during a time of 6.00 s. Calculatethe magnitude of the car’s average acceleration.
An Object is initially moving in the X direction at 5.5 m per seconds, when it undergoes an acceleration in thr Y direction for a period of 22 seconds. If the object moves equal distance in the X and Y direction During this time, what's the magnitude of its acceleration?
The coordinates of a particle moving along a curve are x(t) = -2t2 +15 and y(t) = t2 -10t + 15 , m whent is in seconds. Calculate the magnitude of velocity and acceleration when t= 5 sec.
The velocity of a particle moving along a straight line is given by v = 25t²- 80t -200 where v is measured in meters per second and t in seconds. It is given that the object is located 100 m to the left of the origin at t = 0s. Compute velocity when acceleration is zero position(s) the object changes direction.
Can the magnitude of a particle’s displacement be greater that the distance traveled?
In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?
A mouse wants to jump onto a table that is [y] cm high in order to escape from my cat Jackie. Standing [x] cm from the table it jumps, leaving the ground at an angle of [th] degrees, landing on the edge of the table. What is the initial speed of the mouse in meters per second?
In the 1968 Olympics in Mexico City, Bob Beamon shattered the record forthe long jump with a jump of 8.90 m. His speed on takeoff was 9.5 m/s.How close did this athlete come to the maximum possible range in theabsence of air resistance?
An ion's position vector is initially r= 5i – 6j + 2k, and 10 slater it is r= -2i + 8j – 2k, all in meters. In unit-vector notation, what is its average velocity during the 10 s?
A person standing on the edge of a high cliff throws a rock straight up with an initial velocity of 13.0 m/s. The rock misses theedge of the cliff as it falls back to earth. Calculate the position and velocity of the rock 1.00 s, 2.00 s, and 3.00 s after it isthrown, neglecting the effects of air resistance.
If the initial velocity vector of a particle is vo= 8i - 2j m's, and after time t-5 s its v = 21 + 6j m s, then find the acceleration vector a (in m/s)