If a ball is dropped from 6m above the ground, how long does it take to hit the floor and what is its speed at impact (assuming air resistance is negligible)?
Distance, s = 6m ; initial speed, u = 0 m/s ; final speed, v = v m/s ; acceleration, a = 9.8 m/s (g) ; time, t = t sTime:s = ut + 0.5at2 , 6 = 0 + (0.5 x 9.8)t2 , 6 = 4.9t2 , 1.8367 = t2 , t = 1.355 s Speed:v2 = u2 + 2as , v2 = 0 + (2 x 9.8 x 6) , v2 = 117.6 , v = 10.84 m/s
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