Question #31217

A body thrown 2s falls under gravity.what is the velocity of the body when it reaches ground?

Expert's answer

Question 31217

The body moves two seconds without initial velocity. The speed at moment tt is in general v(t)=v0+gtv(t) = v_0 + gt, where v0v_0 is the initial velocity (If body moves vertically, according to gravity it gets acceleration g=9.81ms2g = 9.81\frac{m}{s^2}). Since the initial velocity of body is zero, using last formula, for moment of time t=2t = 2, obtain v(2)=gms22s=9.81ms22s=19.62mv(2) = g\frac{m}{s^2} \cdot 2s = 9.81\frac{m}{s^2} \cdot 2s = 19.62m. Hence, the height is 19.62m19.62m.

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