SOLUTION: 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 i
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a)What is the average velocity during the time it i
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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? Found 3 solutions by rothauserc, ikleyn, Alan3354:Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Since the height of the building is given in feet, we will use 32 feet per second squared as the acceleration of gravity
:
distance(s) = 0.5 * at^2, where a is acceleration of gravity and t is the time it takes for the hammer to hit the ground
:
0.5 * 32 * t^2 = 300
:
t^2 = 300/16 = 18.75
:
t = 4.33 seconds
:
(a) average velocity(v) = a/t = 32/4.33 = 7.39 feet/sec
:
(b) instantaneous velocity = at = 32 * 4.33 = 138.56 feet/sec
:
The solution by tutor @rothauserc is not precisely correct, therefore I came to bring corrected solution.
Since the height of the building is given in feet, we will use 32 feet per second squared as the acceleration of gravity
distance(s) = 0.5 * at^2, where a is acceleration of gravity and t is the time it takes for the hammer to hit the ground
0.5 * 32 * t^2 = 300
t^2 = 300/16 = 18.75
t = 4.33 seconds
(a) average velocity(v) = = = 69.28 feet/sec <<<---=== my correction is in this line
(b) instantaneous velocity = at = 32 * 4.33 = 138.56 feet/sec
You can put this solution on YOUR website! 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
===============
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
