The distance traveled by a falling object is given by the formula d = 0.5gt2 where d = distance, g = the force of gravity, and t = time. Solve this equation for g, and use your formula to determine the force of gravity if a baseball takes 10 seconds to hit the ground after being dropped from a height of 490 feet. Show all steps in your work.

Question

Mathematics

Ellison

26 October, 06:57

The distance traveled by a falling object is given by the formula d = 0.5gt2 where d = distance, g = the force of gravity, and t = time. Solve this equation for g, and use your formula to determine the force of gravity if a baseball takes 10 seconds to hit the ground after being dropped from a height of 490 feet. Show all steps in your work.

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Answers (2)

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Dimpling · Answer 1

D = 0.5gt^2

2d = gt^2

g = 2d/t^2

when t = 10 s, and d = 490 feet,

g = 2 (490) / 10^2 = 980/100 = 9.8 feet/s

Abraham Shelton · Answer 2

First we write down variable values given in the text:

d=490 feet

t=10 seconds

solved for g our equation looks like:

g=2d / (t^2)

Now we replace values of variables and make calculation:

g = 2*490/100 = 9,8 feet/s^2

answer is 9,8 feet/s^2