SOLUTION: 90) Foul ball. 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

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Question 266424: 90) Foul ball. 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.
b) Use the accompanying graph to estimate the maximum height reached by the ball.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Foul ball. Suppose Charlie O達rian of the Braves hits a baseball straight upward at 150 ft/sec from a height of 5 ft.
;
Assume the formula is: h = -16t^2 + 150t + 5
:
a) Use the formula to determine how long it takes the ball to return to the earth.
When the ball strikes the ground h = 0, therefore:
-16t^2 + 150t + 5 = 0
Use the quadratic formula to find the positive solution
a=-16, b=150, c=5
t = 9.4 sec is what I got
:
b) Use the accompanying graph to estimate the maximum height reached by the ball.
+graph%28+300%2C+200%2C+-6%2C+12%2C+-100%2C+400%2C+-16x%5E2%2B150x%2B5%29+
Looks like max height ~ 350 ft