Question

The formula that describes an object's 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 the other variables?

A. a= 2S-2u/t

B. a=2S+2u/t

C. a=2S-2ut/t^2

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

Answer 1

S = ut + (1/2)a(t²) Subtract ut from both sides
(1/2)a(t²) = S - ut Multiply both sides by 2
a(t²) = 2s - 2ut Divide both sides by t²
a= 2s/t² - 2u/t

a= (2S - 2ut)/t²

Answer is C) but there should be parentheses around the term (2S-2ut)