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Answer on Mechanics | Relativity Question for danica

Question #1239
A juggler throws a ball from height of 0.950 m with a vertical velocity of +4.25 m/s and misses it on the way down. What is its velocity when it hits the ground?
Expert's answer
We use the equations of the motion:
h = h0 +v0t - gt2/2;
v = v0 - gt.


h0 = 0.95
v0 = 4.25 m/s
h = 0

0 = 0.95 +4.25t - 10t2/2
5t2 - 4.25t - 0.95 = 0
D = 4.252 + 5*0.95*4 = 37
t1 = (4.25+6.08) / 10 = 1.03
t2 = -0.18 - out of sense.

v = 4.25 - 1.03*10 = -6.05
Answer:
The velocity would be equal to 6.05 m/s and its vector is directed downward.

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