Phy 201
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A ball rolls off the end of an incline with a vertical velocity of 20 cm/s downward, and a horizontal velocity of 80 cm/s. The ball falls freely to the floor 120 cm below.
• For the interval between the end of the ramp and the floor, what are the ball's initial velocity, displacement and acceleration in the vertical direction?
• What therefore are its final velocity, displacement, change in velocity and average velocity in the vertical direction?
• What are the ball's acceleration and initial velocity in the horizontal direction, and what is the change in clock time, during this interval?
• What therefore are its displacement, final velocity, average velocity and change in velocity in the horizontal direction during this interval?
• After the instant of impact with the floor, can we expect that the ball will be uniformly accelerated?
• Why does this analysis stop at the instant of impact with the floor?
a)Initial velocity=0 cm/sec since the ball falls freely
Acceleration=980cm/s^2
Not sure about the displacement.
B)Final velocity= 20cm/sec
Average velocity=20-0/2=10cm/sec
Change in velocity=20
Vf^2=vo^2+2a ds
400=0+196ds=400/1960
Ds=.20cm
I might be wrong initial velocity may be 20 and final 0,not very sure though.
c)Initial velocity in horizontal direction=80cm/sec
Not really sure if I am going in the right direction.
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10mins
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You are definitely going in the right direction. Check the link for fuller discussion:
Please compare your solutions with the expanded discussion at the link
Solution
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