A ball is dropped from the top of a building with a height of 500 feet. The height of the ball at time, t, can be modeled by the function h (t) = - 4.9t^2 + h_0 where h_0 is the initial height of the ball. Approximately how long does it take for the ball to reach the ground?

Question

Mathematics

Desiree Walsh

7 July, 20:24

A ball is dropped from the top of a building with a height of 500 feet. The height of the ball at time, t, can be modeled by the function h (t) = - 4.9t^2 + h_0 where h_0 is the initial height of the ball. Approximately how long does it take for the ball to reach the ground?

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Answers (1)

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Quinton Alvarado · Answer 1

In this problem, your h_o is 500. Put this into your equation to make it:

h (t) = - 4.9t^2 + 500

Next, you want to know how long it will take for the ball to reach the ground. The ground will then be equal to 0 in this problem, so you will simply set your equation equal to 0 and solve for x:

0 = 4.9t^2 + 500

Now, all you have to do is solve the equation for t, and this will be your answer.