Question

The acceleration(a) of a particle in one dimensional motion is related to time (t) as
a=2-t. If the particle is starts from rest from origin at time t=0 then the position
of the particle at time t= 6 sec is
​

Answer 1

This question involves integration .

Integration of acceleration gives velocity and integration of velocity gives displacement

Therefore 2° integration of acceleration will give displacement.

D = f(t) = t² - t³/6 from t=0 to t=6

=6²-6³/6

=6²-6²

= 0

I hope I am right . ☮️