Question

A particle starts from rest at O and moves in a straight line with its acceleration, a m/s^2, given by a=8-4t, where t seconds is time since leaving O.
The particle comes to instantaneous rest at A.

Find the time taken for the particle to reach A

I integrated acceleration to find the velocity and equated that to 0, but i have an extra c i have no idea how to get..

Answer 1

well if you find the velocity equation to be

\[v = 8t - 2t^2 + c\]

the particle starts from rest at the origin ... so v = 0 and t = 0

Answer 2

yup

oh shoot
t =0 too?

Answer 3

okay thank you

Answer 4

hang on then how do you find the maximum speed of the particle?

Answer 5

@campbell_st

Answer 6

does it mean that a=0?

Answer 7

oh yes
it does

thankq