The position of a particle is given by the equation ?(?) = t3 − 6t2 + 9t, where t is in seconds and s in meters. a) What is the velocity after 2 s? After 4 s? b) Find the instant when the particle reverses direction c) Determine the time intervals when it is moving to the LEFT? RIGHT? d) Find the initial position and the positions when it changes

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter3: Motion Along A Straight Line
Section: Chapter Questions
Problem 79P: Between t=0 and t=t0 , a rocket moves straight upward with an acceleration given by a(t)=ABt1/2 ,...
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PLEASE ANSWER LETTERS B TO D

The position of a particle is given by the equation ?(?) = t3 − 6t2 + 9t, where t is in seconds and s in meters.
a) What is the velocity after 2 s? After 4 s?
b) Find the instant when the particle reverses direction
c) Determine the time intervals when it is moving to the LEFT? RIGHT?
d) Find the initial position and the positions when it changes direction
e) Draw a diagram to represent the motion of a particle.

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