A particle is moving along a straight line. At time t seconds it's displacement, x meter from a fixed point O is such that d²x = -16x dt2 Given that at t = 0, x = land the particle is moving with velocity 4ms-1. Determine the time taken, in seconds, for the particle to reach the maximum dæ displacement, in meters, ( = 0) from O. dt Deteremine the maximum displacement of the particle from O.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 6P: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of...
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A particle is moving along a straight line. At time t seconds it's displacement , x meter from a fixed point O is such that
-16x
dt2
Given that at t = 0, x = land the particle is moving with velocity 4ms1. Determine the time taken, in seconds, for the particle to reach the maximum
dx
displacement, in meters, (-
0) from O.
dt
Deteremine the maximum displacement of the particle from O.
Transcribed Image Text:A particle is moving along a straight line. At time t seconds it's displacement , x meter from a fixed point O is such that -16x dt2 Given that at t = 0, x = land the particle is moving with velocity 4ms1. Determine the time taken, in seconds, for the particle to reach the maximum dx displacement, in meters, (- 0) from O. dt Deteremine the maximum displacement of the particle from O.
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