Alice throws a ball straight up with an initial speed of 40 feet per second from a height of 5 feet?

Question

a) Find parametric equations that model the motion of the ball as a function of time.
b) How long is the ball in the air?
c) When is the ball at its maximum height? Determine the maximum height of the ball.

Thanks

Answer 1

x(t) = 0
y(t) = 5 + 40t - 16t^2

Now just solve for t when y=0

Find the vertex of the parabola.