SOLUTION: A ball is thrown vertically upward from the top of a building 112 feet tall with an initial velocity of 96 feet per second.
a) find the velocity of the ball at time t
b) how long
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-> SOLUTION: A ball is thrown vertically upward from the top of a building 112 feet tall with an initial velocity of 96 feet per second.
a) find the velocity of the ball at time t
b) how long
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Question 1169278: A ball is thrown vertically upward from the top of a building 112 feet tall with an initial velocity of 96 feet per second.
a) find the velocity of the ball at time t
b) how long does it take the ball to hit the ground
c)what is its impact velocity
D) how far the the ball travel during its flight Answer by Solver92311(821) (Show Source):
Where is the given initial velocity and is the height of the building plus the distance the person's hand holding the ball was above the top of the building when the ball was released
The ball never hits the ground. The problem is posed as the ball is thrown vertically upward and no force with a horizontal component is mentioned in the problem statement. Therefore the ball goes straight up and comes straight back down again impacting the roof of the building.
Given that the ball impacts the roof of the building, adjust the initial height to be the height above the roof that the ball is released, set the function equal to zero, and solve for the positive root to find the time that the ball impacts the roof on the way down. Then, to find the impact velocity evaluate the first derivative of the function at the time of impact.
Calculate the height ignoring the height of the building, then the distance traveled is twice the height minus the height of the hand above the roof when the ball is released.
I'm sure this is not the answer your instructor expected, but it is 100% correct based on the way the question is worded.
John
My calculator said it, I believe it, that settles it
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