Question

Q. If a(acceleration) = x², then find v(velocity) when x is 2m. Given at x = 0 and body is at rest.

Answer 1

Given:

The acceleration a=x²

The value of x= 2 m

To find:

The velocity of the body.

Solution:

The acceleration is the double derivative of velocity.

Velocity =∫x²

=x³/3

At x= 2 m

Velocity v=8/3 m/sec

The velocity at rest v= 0 as x=0

Therefore velocity at x=2 m, v= 8/3 m/sec