Saturday, May 2, 2015

Gravity practice problems (with answers)

A reminder that you call the initial direction of motion positive, whether it is up or down.  Then gravitational acceleration (which is always down) could be either + or -, depending on your system.

1.     If you drop a ball from a 50-m tower, how long does it take to hit the ground and how fast is it traveling right before it hits the ground?  (3.2 seconds, 31.3 m/s)
2.     Throw a ball straight up at 25 m/s. 
a.     How long will it take to reach the top of the arc?  (2.6 s)
b.     How long will it take to return to your hand?  (5.1 s)
c.      How high does it go?  (31.9 m)

d.     Where exactly is the ball at the 4-second point and how fast is it traveling?  (21.6 m above ground, -14.2 m/s)

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