SOLUTION: A model rocket is launched from the ground with an initial velocity of 160 feet/second. How long will it take the rocket to reach maximum height? Assume the model rocket's parac

Question 970516: A model rocket is launched from the ground with an initial velocity of 160 feet/second. How long will it take the rocket to reach maximum height?
Assume the model rocket's parachute failed to deploy and the rocket fell back to the ground. How long would it take the rocket to return to earth from the time it was launched?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Assumptions:
1) The rocket is starting on the ground (and not on a building or hill)
2) The rocket comes back to the same ground level (same height) as the starting point.
3) Dealing with wind/air resistance makes this problem a lot more complicated, so we will ignore those factors.
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is the height formula

h = height at time t (where both h and t are nonnegative)
g = acceleration of gravity at sea level (roughly 32 ft/sec^2)
is the initial velocity
is the initial height

The rocket's max height is when seconds

Question: How long will it take the rocket to reach maximum height?
Answer: 5 seconds

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The rocket hits the ground at height h = 0.

Plug in h = 0

or

or

The rocket is on the ground at or seconds. The first time value is the starting point whereas the second time value is the ending point.

So the rocket starts on the ground at t = 0 seconds, flies up, then comes back down and hits the ground at t = 10 seconds. The total flight time is 10 seconds.

Question: How long would it take the rocket to return to earth from the time it was launched?
Answer: 10 seconds

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