The acceleration of a car starting from rest is given by a(t) = t 2 + 6t − 7 √ t − 2 in m/s2 . Find the position ( relative the car’s initial position at rest) and velocity of the car after 4 seconds

Answer 1

This is a straight application of integration.

v(t) = ∫a(t) and s(t) = ∫v(t).

You use the initial conditions to evaluate the 2 constants of integration.

Also please note that it is not clear in your question what is under the radical sign.