Answered

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Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. the height of the ball can be represented by the function h(t) = −16t2 48t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds

Sagot :

Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.

What is the function for the ball's height?

The height of the ball after t seconds is given by:

h(t) = -16t² + 48t.

It is at the ground at the instants of t for which:

h(t) = 0.

Hence:

-16t² + 48t = 0

-16t(t - 3) = 0.

We want t different of 0, hence:

t - 3 = 0 -> t = 3.

The ball traveled for 3 seconds before returning to the ground.

More can be learned about functions at https://brainly.com/question/25537936

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