The distance, d, an object travels from rest while accelerating in t seconds is given by the formula d = 1/2at^2, where a is the acceleration of the object.

part a: solve for the acceleration, a, to write the equation in terms of the distance, d, and time, t.

part b: solve instead for the time, t, and write the equation in terms of the acceleration, a, and distance, d.

part c: explain why it is useful to solve a formula for a specific variable.