un metre and t, the time in seconds. What is the acceleration when the particle is at rest?
One
the displacement of a particle in 4 seconds is given by s = 451 - 117-1. Find the time when the
particle comes to rest. Also find its acceleration at that time.
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Answer:
The displacement of a particle is proportional to the cube of time elapsed.
x∝t
3
x=kt
3
, where k= proportionality constant
velocity, v=
dt
dx
v=3kt
2
acceleration, a=
dt
dv
a=6kt
a∝t, acceleration of particle is directly proportional to elapsed time
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