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

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

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-(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.