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⋅ t12−12⋅ g⋅ (t1−t)2 2⋅ s/g=t12−(t1−t)2 2⋅ s/g=t12−t12+2⋅ t⋅ t1−t2 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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