Determine the equation for the function

Question

A ball is thrown upward from the roof of a 25m building. The ball reaches a height of 45m above the ground after 2 seconds and hits the ground 5 seconds after being thrown.

 

Determine an equation for the function.

Answer 1

h(t) = –16t2 + vt + h, where h = initial height, t = time, and v = initial velocity.

 

Substitute t = 2, h(2) = 45, and h = 25. Calculate v. Start again with the formula.

 

Substitute h = 25, v = number determined above.