SOLUTION: Suppose Charlie O達rian of the Braves hits a Baseball straight upward at 150 ft/sec from a height of 5 ft. a) Use the formula to determine how long it takes the ball to return t

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Question 394017: Suppose Charlie O達rian of the Braves hits a
Baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball
to return to the earth.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
O達rian of the Braves hits a Baseball straight upward at 150 ft/sec from a height of 5 ft.
a) Use the formula to determine how long it takes the ball
to return to the earth.
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h(t) = -16t^2+150t+5
----
h(t) is zero when the ball in on the ground.
---
Solve: -16t^2+150t+5 = 0
---
t = [-150 +- sqrt(150^2-4*-16*5)]/(-32)
---
t = [-150 +- sqrt(22820)]/(-32)
---
Positive solution:
t = [-150-151.06]/(-32)
---
t = 9.408 seconds
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Cheers,
Stan H.