A rubber ball is dropped from a height of 5m on a planet, where accelaration due to gravity is nit known. on bouncing, it rises to 1.8m. the ball loses its velocity on bouncing by a factor of
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s = 1.8 = 1/2 t^2
t^2 = 3.6
t = sqrt(3.6)
on the "down" path
s = 5 = 1/2 a * t^2 (a = 1 still)
10 = t^2
t=sqrt(10)
velocity = acc * time
v = a*t (a = 1 still)
"up" v = at = sqrt(3.6)
"down" v = at = sqrt(10)
the "factor" [ the ball loses its velocity on bouncing?]
= sqrt(3.6)/sqrt(10) = sqrt (.36) = 0.6
,,,, my method is scary, but the answer is probly right ...
good luck
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