Question 1145938
A hammer was dropped from a Carpenter's pocket from a height of 300 ft building and falls towards the earth in a straight line.
a)What is the average velocity during the time it is falling.
b)What is the instantaneous velocity of the hammer when it hit the ground?
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h(t) = -16t^2 + 300
Impact is at h(t) = 0
-16t^2 + 300 = 0
t^2 = 300/16
t =~ 4.33 seconds
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acceleration = 32 ft/sec/sec
Speed at impact = 4.33*32 = 138.56 ft/sec
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Avg speed = 138.56/2 = 69.28 ft/sec