Question

3) An object moving with a speed of 50 m/s takes 8 second to come to rest. The distance

Travelled during this time duration is -l​

Answer 1

Explanation:

We know that acceleration is time derivative of velocity so the given relation can be written as

dt

dv

=−5

2

v

or

2

v

dv

=−5dtintegrating above equation we get 2

2

v

=−5t+c.....(1)

where c is integrating constant.

To evaluate the constant just put t=0 and v=25 as given in the question.

By doing so we lead to c=10 so the equation-1 becomes 2

2

v

=−5t+10 now put v=0 in above equation we get t=2second.