Question

An object accelerates from rest with a constant acceleration of 2 m/s2. How far will it have moved after 9s?

Answer 1

As per the question the, the initial velocity of object [u] =0

The acceleration of the block  $[a]=2\ m/s^2$

The time taken by the object[t] = 9 s.

We are asked to calculate the distance travelled by the object in that time.

As per equation of kinematics we know that-

                                 $s=\ ut+\frac{1}{2} at^2$

Here s is the distance travelled by the object.

                                       $=0*9+\frac{1}{2} 2*[9]^2\ m$

                                       $=81\ m$     [ans]