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A child throws his basketball upward from the ground with an initial velocity of 30 ft/sec. What will be the speed of the ball...Asked by poke diger pants
A child throws his basketball upward from the ground with an initial velocity of 30 ft/sec.
What will be the speed of the ball when it reaches the ground? (I need help uwu)
What will be the speed of the ball when it reaches the ground? (I need help uwu)
Answers
Answered by
mathhelper
well, clearly
height = -16t^2 + 30t + c, where c is the initial height of the ball when it is released. ( It would be rather difficult for a child to throw the ball upwards from ground level at appr 20 mph, but let's assume c = 0)
then
0 = -16t^2 + 30t
16t^2 - 30t = 0
t(16t-30) = 0
t = 0 (the moment she throws the ball)
or
t = 30/16 = 1.875 seconds
velocity = d(height)/dt = -32t + 30
when t = 1.875, velocity = -32(1.875) + 30 = -30 ft/s
Adjust for any value of c that was given.
height = -16t^2 + 30t + c, where c is the initial height of the ball when it is released. ( It would be rather difficult for a child to throw the ball upwards from ground level at appr 20 mph, but let's assume c = 0)
then
0 = -16t^2 + 30t
16t^2 - 30t = 0
t(16t-30) = 0
t = 0 (the moment she throws the ball)
or
t = 30/16 = 1.875 seconds
velocity = d(height)/dt = -32t + 30
when t = 1.875, velocity = -32(1.875) + 30 = -30 ft/s
Adjust for any value of c that was given.
Answered by
cody
where did 16 came from?
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