Question

The formula that describes an objects motion is given by s=ut+1/2at^2, where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Which equation represents a in terms of other variables?

A. a=2s-2u/t

B. a=2s+2u/t

C. 2s-2ut/t^2

D. a=2s+2ut/t^2

Answer 1

We have the following equation:
 s = ut + 1 / 2at ^ 2
 Clear a for the equation:
 1 / 2at ^ 2 = s-ut
 at ^ 2 = 2s-2ut
 a = 2s / t ^ 2-2ut / t ^ 2
 Rewriting:
 a = (2s-2ut) / (t ^ 2)
 Answer:
 An equation that represents a in terms of other variables is:
 C. 2s-2ut / t ^ 2