SOLUTION: A bowling ball is thrown straight up with an initial velocity of 32 ft/sec from a height of 4 feet. a. Write a function that gives the height, h (in feet), of the bowling ball aft

Question 1167161: A bowling ball is thrown straight up with an initial velocity of 32 ft/sec from a height of 4 feet.
a. Write a function that gives the height, h (in feet), of the bowling ball after t seconds.
b. Find the height of the bowling ball after 1 second.
c. How long does it take the bowling ball to fall back to 7 feet? (round off to the nearest thousandths)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
h(t)=-16t^2+32t+4
h(1)=-16+32+4=20 ft.
7=-16t^2+32t+4
so 16t^2-32t+3=0
t=(1/32)(+32+/- sqrt (1024-192)); sqrt of 832=28.844
t=60.844/32=1.90125 sec going down, the answer or 1.901 sec. [3.16/32 or 0.0988 sec to be at 7 feet going up.]

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