Question

The position of a particle changes with time as t= x^1/2 + 3. Find the distance travelled when it comes to rest.

Answer 1

At t = 0

0 = x^1/2 + 3

or, x^1/2 = -3

or, x = 9 .

at t = 1

1 = x^1/2 + 3

or, 1 -3 = x^1/2

or, -2 = x^1/2

or, x = 4.

At t = 3

3 = x^1/2 + 3

or, 0 = x^1/2.

or, x = 0.....

So body comes at rest at t = 3 s

and hence distance travelled in these 3 s will be 9 + 4 +0

= 13 m.

Thanks.