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.

The equation of motion is

s (t) = (1/2) a·t² + v₀·t + s₀

where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.

For t in seconds and s (t) in feet, your values make this equation be

s (t) = 5t² - 20t + 8