The equation for a projectile's height versus time is: h(t)=-16t^2+vot+ho. A tennis ball machine serves a ball vertically into the air from a height of 2 feet, with an initial speed of 110 feet per second. Which equation correctly models the ball's height as a function of time?

Question

anonymous · Answer

The answer is right in front of you. You are basically given the initial height and the initial speed of the ball as it was shot from the tennis ball machine:

$$v_{0}$$ = 110 ft/s
$$h_{0}$$ = 2 ft

your original equation: $$h(t) = -16t ^{2} + v _{0}t + h _{0} $$

now you just plug and chug.

In the end you are given a quadratic equation of the height in respect to its time. 
If you wanted to find how high the ball reaches in a certain amount of time, you just plug in whatever time you want it to be for "t".

Credits: Mechanical Engineering Student

Cheers

anonymous · Answer

thank you so much for the explanation! :)