SOLUTION: How far will a ball travel horizontally before hitting the ground, if the ball is thrown from a 300ft tower, parallel to the ground at 95mph?

Question 232449: How far will a ball travel horizontally before hitting the ground, if the ball is thrown from a 300ft tower, parallel to the ground at 95mph?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How far will a ball travel horizontally before hitting the ground, if the ball is thrown from a 300ft tower, parallel to the ground at 95mph?
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1st find the time to hit the ground.
h(t) = -16t^2 + 300 is the function giving the height above gnd in terms of t in seconds.
Set it = 0
-16t^2 + 300 = 0
t^2 = 300/16 = 75/4 seconds
t = ~ 4.330 seconds.
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95 mph = 95*22/15 ft/sec = 139.333... ft/sec (horizontal speed)
s = vt (distance = speed*time)
s = 139.333*4.33
s = ~ 603.33 feet

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