SOLUTION: A baseball machine fires balls into the air on top of a 52 foot building at a velocity of 96 ft/s. What is the velocity of one of these baseballs when it hits the ground?
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Question 977220: A baseball machine fires balls into the air on top of a 52 foot building at a velocity of 96 ft/s. What is the velocity of one of these baseballs when it hits the ground?
This question might involve integration or differentiation. But I can't seem to solve it. It seems to be insufficient of information. Please prove me wrong. Thank you for all the help! Answer by solver91311(24713) (Show Source):
Height as a function of time for a projectile with a vertical velocity component is:
where is the initial velocity and is the initial height. Your is 96 ft/sec and your is 52. Solve the quadratic for the positive root which is the value of when the projectile hits the ground.
Since velocity is the rate of change of position, take the first derivative of the the height function and evaluate at the time the projectile hits the ground.
John
My calculator said it, I believe it, that settles it
