Question

Please help! Medal + fan (:

2.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.

Answer 1

Have you tried to solve for \(g\)?

Answer 2

I've tried, but I'm not very good at math

Answer 3

So this is how to do it,
\[d=\frac{1}{2}gt^2\]
You want to get everything except g on the left hand side, so multiply both sides by \(2\) to make the \(\frac{1}{2}\) into a 1.
\[2d=gt^2\]
and then divide by \(t^2\) to cancel it on the right hand side:
\[\frac{2d}{t^2}=\frac{gt^2}{t^2}=g\]
Now just put in the numbers you were given for time and height (=d=distance in this case)