The instantaneous position of a particle along the x-axis is given by: x(t) = 9.75 + (1.5") t3; x in meters and t in seconds. Determine a. the average velocity during the time interval t = 3.00 s to t = 5.00 s b. the instantaneous velocity at t = 3.00 s C. the instantaneous velocity at t = 6.00 s d. the average acceleration during the time interval t = 3.00 s to t = 5.00 e. the instantaneous acceleration at t = 2.00 s

The instantaneous position of a particle along the x-axis is given by: x(t) = 9.75 + (1.5") t3; x in meters and t in seconds. Determine a. the average velocity during the time interval t = 3.00 s to t = 5.00 s b. the instantaneous velocity at t = 3.00 s C. the instantaneous velocity at t = 6.00 s d. the average acceleration during the time interval t = 3.00 s to t = 5.00 e. the instantaneous acceleration at t = 2.00 s

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter2: Kinematics

Section: Chapter Questions

Problem 59PE: (a) By taking the slope of the curve in Figure 2.60, verify that the velocity of the jet car is 115...

See similar textbooks

Similar questions

An object moves with constant acceleration 4.00 m/s2 and over a lime interval reaches a final velocity of 12.0 m/s. (a) If its initial velocity is 6.00 m/s, what is its displacement during the time interval? (b) What is the distance it travels during this interval? (c) If its initial velocity is -6.00 m/s, what is its displacement during points, (d) Does the change in speed of the downward-moving rock agree with the magnitude of the speed change of the rock moving upward between the same elevations? (e) Explain physically why it does or does not agree.
(a) Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. (b) How long would it take to reach the ground if it is thrown straight down with the same speed?
1. The motion of a particle along the x-axis is described by the equation v= (3m/s2)t + (0.5m/s3)t2 where x is in meters, and t is in seconds. Determine the following:a. Position of the particle 3 seconds after startingb. Displacement from 2 sec to 5 secc. Average velocity during first 5 secondsd. Velocity at t= 4secse. Average acceleration during the second 3 secondsf. Acceleration at t = 5 secsg. Time the particle moves at 20m/sh. The acceleration and velocity at start of motion
The position of a particle moving along the x axis is given by x=3t2-15t-10m, where t is in s. Determine the following: a.) average velocity during the time interval t=2.5s to t=4.5s b.) instantaneous velocity at 3s c.) average acceleration during the time interval t=2.5 s to t=4.5s d.) instantaneous acceleration at 3s e.) is the particle speeding up or slowing down at 4s? Justify your aswer.
1: A car accelerates in the +x direction from rest with a constant acceleration of af = 1.51 m/s7 for ty = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard with a constant acceleration of ay =-6.64 m/s?
49) At t = 10 s, a particle is moving from left to right with a speed of 5.0 m/s. At t = 20 s, the particle is moving right to left with a speed of 8.0 m/s. Assuming the particle’s acceleration is constant, determine (a) its acceleration, (b) its initial velocity, and (c) the instant when its velocity is zero.
23) The position of a particle is r⃗ (t)=4.0t2iˆ−3.0jˆ+2.0t3kˆm.r→(t)=4.0t2i^−3.0j^+2.0t3k^m. (a) What is the velocity of the particle at 0 s and at 1.01.0 s? (b) What is the average velocity between 0 s and 1.01.0 s?
The position of a particle moving along an x axis is given by x = 15.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 3.00 s. "need only (H) and (I) "
The position of a particle for t > 0 is given by r⃗ (t) = 43.0t2i + 7.0 t3j + 5.0 t-2k̂ m (a) What is the velocity as a function of time? (b) What is the acceleration as a function of time? (c) What isthe particle’s velocity at t = 2.0 s? (d) What is its speed at t = 1.0 s and t = 3.0 s? (e) What is the average velocity between t = 1.0 s and t = 2.0 s?
The position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 s
The position of a particle moving along an x axis is given by x = 13.0t2 - 6.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 4.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 4.00 s.Please help me with d, e, and f.
1) A cyclist is coasting up a hill. At t=0, the cyclist has a velocity of 14.5 m/s. a) If the acceleration of the cyclist is constant at -2.5 m/s2, how long will it take the cyclist to come to a complete stop? b) If the peak of the hill is 70 m away from the cyclist at t=0, how far up the hill will she travel and will she have to pedal to reach the top?