Free Fall:

Question

Tara throws a baseball down to Nathan. If she throws it with a speed of 2.0m/s and it lands in Nathan's hand with a speed of 10.0m/s, how far above Nathan is Tara?

Answer 1

V^2 = Vo^2 + 2gd,
10^2 = 2^2 + 2*9.8*d,
100 = 4 + 19.6d,
100 - 4 = 19.6d,
96 = 19.6d,
d = 96/19.6 = 4.9 m.

Answer 2

VF^2=Vi^2+2gx
10^2=2^2+2(9.8)x
96=19.6x
x=4.9m