Question

Suppose you hit a fly ball with an initial upward velocity of 20 feet per second. Which of the following equations would be a realistic model for the height of the ball after t seconds?

Answer 1

Answer:

$c. \ h=-16t^2+20t+3$

Step-by-step explanation:

This is a problem of projectile motion. We can write the equation of the height of the ball after t seconds as follows:

$h=H+v_{0y}t-\frac{1}{2}gt^2$

Being H the height when the player hits the ball (t=0s) and $v_{0y}$ the initial upward velocity. According to this formula, $v_{0y}=20$. We have chosen this equation as the correct because $H=3$, that is, this is the more logical answer given that the player hits the ball at $t=0s$ and when this happens, the ball is 3 feet from the ground.