SOLUTION: A ball is thrown directly upward from the ground with an initial speed on 80 ft/s. How high will it go? When will it return to the ground?

Question 329341: A ball is thrown directly upward from the ground with an initial speed on 80 ft/s. How high will it go? When will it return to the ground?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Start with the function for the height (h)of an object thrown upward as a function of time (t).
Where: = height, = time, = Initial upward velocity, and = initial height of the object.
First, find the time () at the maximum height.
This is the time, in seconds, when the object reaches it maximum height.
now substitute this into the first function to find the maximum height reached by the object.
Evaluate.
feet. This is the maximum height attained by the object.
Now you need to find the time (t) at which the (h) = 0, so...
Factor a t.
so...

seconds. The object reaches the ground in 5 seconds.
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