SOLUTION: in a game, a batter hits the pop fly . if the ball remains in air for 6 seconds, how high did it rise?

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Question 542984: in a game, a batter hits the pop fly . if the ball remains in air for 6 seconds, how high did it rise?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If I call the height from which it was hit +h+=+0+
The equation for height is +h+=+-16t%5E2+%2B+v%5B0%5D%2At+
where +v%5B0%5D+ is the initial velocity.
h is the height in ft
t is the time in sec
At +h=0+, +t+=+0+ or +t=6+
For +t+=+6+,
+0+=+-16%2A6%5E2+%2B+v%5B0%5D%2A6+
+6v%5B0%5D+=+16%2A36+
+v%5B0%5D+=+96+
The equation is
+h+=+-16t%5E2+%2B+96t+
The ball takes just as long to rise as it does to fall, so
the maximum height is at +t+=+3+ sec
+h%5Bmax%5D+=+-16%2A3%5E2+%2B+96%2A3+
+h%5Bmax%5D+=+-16%2A9+%2B+96%2A3+
+h%5Bmax%5D+=+-16%2A9+%2B+32%2A9+
+h%5Bmax%5D+=+%28+32+-+16+%29%2A9+
+h%5Bmax%5D+=+144+
The maximum height is 144 ft