SOLUTION: A metal ball is dropped from the top of the 1450 foot high Sears Tower in Chicago. If the distance the ball falls is directly proportional to the square of the time it is allowed t

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Question 380914: A metal ball is dropped from the top of the 1450 foot high Sears Tower in Chicago. If the distance the ball falls is directly proportional to the square of the time it is allowed to fall and after 1 second, the ball falls 16 feet, find the formula d(t) for the distance the
ball has fallen after t seconds. At what time will the ball hit the ground? The speed s of the ball is given by the formula s(t) = 32t . How fast is the ball traveling when it hits the ground?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
d%28alpha%29t%5E2
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d=kt%5E2
plug value of t=1 & d=16 to find the value of k
16=k*1^2
k=sqrt16
k=+/-4
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d=4t^2
1450= 4*t^2
1450/4 =t^2
362.5=t^2
t=sqrt362.5
t = 19 .03 seconds
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s(t)=32t
s(19)= 32*19
s19)= 608 ft/s
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m.ananth@hotmail.ca