SOLUTION: A frog jumps straight up off the ground with an initial vertical velocity of 2 feet per second. After how many seconds does the frog land on the ground? Use the vertical motion mod
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Question 892229: A frog jumps straight up off the ground with an initial vertical velocity of 2 feet per second. After how many seconds does the frog land on the ground? Use the vertical motion model. h=-16t^2 + vt + s
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
with
=time in seconds,
= height in feet above the ground,
= initial height in feet above the ground (at time zero), and
= initial velocityin feet per second,
In this case and , so
or simply
Factoring, we get
When the frog is on the ground, , and
has 2 solutions:
is the time when the frog pushed off the gound.
The solution to gives us the time the frog is on the ground again.
-->-->--> or
The frog lands after of a second (or 0.125 seconds).
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