Calculus Word Problem *Need Step by Step Explanation please!*

Question

An object has a constant acceleration of 10 ft/sec², an initial velocity of -20 ft/sec, and an initial position of 8 ft. Find the position function, s(t), describing the motion of the object.

Answer 1

Here is a video I recorded wherein I detail the solution process.

Answer 2

s(t) = (a/2)t^2 + vt + d

s(t) = distance at time t

a = acceleration

v=initial velocity

d=initial distance

s(t)= (10/2)t^2 -20t + 8

= 5t^2 -20t +8