An object has a constant acceleration of 40 ft/sec^2, an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object.

Question

 

An object has a constant acceleration of 40 ft/sec², an initial velocity of -20 ft/sec, and an initial position of 10 ft. Find the position function, s(t), describing the motion of the object. 

Answer 1

s(t) = 20t^2 -20t + 10

general formula is

s(t) = (a/2)t^2 + vot + so where a= acceleration, vo = initial velocity and so = initial distance

s(t) = (40/2)t^2 -20t + 10