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 fee

Question

3 years ago

11

t above the ground. How long will it take for the ball to fall a distance of 10 feet? How do you know?

1 answer:

Nostrana [21] · Answer 1 · 2022-06-17T21:10:04+03:00

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