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Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when it falls back to a height of 4 feet. The height of the ball is given by h = 5 + 25t - 16t^2, where h is measured in feet and t is measured in seconds. How many seconds after throwing the ball does Jon hit it?

Respuesta :

elcharly64

Answer:

[tex]t=1.60\ sec[/tex]

Step-by-step explanation:

Functions

We are given the function that relates the height of the ball and the time elapsed t. The function is:

[tex]h = 5 + 25t - 16t^2[/tex]

We need to know the time needed for the height to reach 4 feet, that is h=4

[tex]5 + 25t - 16t^2=4[/tex]

Rearranging

[tex]16t^2-25t -1=0[/tex]

Solving for t

[tex]\boxed{t=1.60\ sec}[/tex]

The other solution is negative and is discarded because t cannot be negative.

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