Free fall

The free fall body has gone 10m in the last 0.5s. Find the body speed at the moment of impact.

Correct result:

v =  22.5 m/s

Solution:

t=0.5 s s=10 m  g=10 m/s2    s=12 g t1212 g (t1t)2 2 s/g=t12(t1t)2 2 s/g=t12t12+2 t t1t2 2 s/g+t2=2 t t1  t1=t2+2 s/g2 t=0.52+2 10/102 0.5=94=2.25 s  v=g t1=10 2.25=452=452 m/s=22.5 m/s



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