Question

The position of a moving particle relates to time as follows :
x(t) = tsint, where x is in metres and t in seconds.
Prove that the body has initiated its journey from rest

Answer 1

Answer:

To Prove that the body has initiated its journey from rest, the velocity at t = 0 must be zero

Explanation:

Given, x(t) = tsint

Differentiating with respect to t, dx/dt = v

dx/dt = tcost + sint

v = tcost + sint

t = 0, v = u

u = 0×cos0 + sin0

u = 0 m/s

Hence the body started from rest.

Good day :)

Answer 2

Hey mate !!!!

As we know a particle which has initiated it's journey has 0 velocity at t=0.

thus we need to prove that at t=0 ;

The particle had 0 velocity.

your futher answer is in the attachment :-

Hence we get the velocity at t=0 is zero.

Therefore ; The particles has initiated it's journey from rest.

proved ....

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