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29. The function f(t) =-16t^2 + 35 gives the height, f (in feet) of a ball t seconds after being dropped from a height of 35 feet above the ground. How long will it take for the ball to fall a distance of 10 feet? How do you know?

Sagot :

The time taken for the ball to fall a distance of 10feet is 1.25secs

Given the function modeled by the height expressed as:

f(t) =-16t² + 35

In order to determine the time taken by the all to fall a distance of 10 feet, hence;

f(t) = 10

10 = -16t² + 35

-16t² = 10 - 35

-16t² = -25

-t² = -25/16

t² = 25/16

t = √25/16

t = 5/4

t = 1.25secs

Hence the time taken for the ball to fall a distance of 10feet is 1.25secs

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