1.

A body falling freely from rest covers 7/16 of total height in the last second of its fall. The height from which it falls is? (g = 9.8 m/s^2)?

Answer»
s = ut +  \frac{1}{2} a {t}^{2}

\frac{9}{16}  = 0 +  \frac{1}{2} 9.8 {t}^{2}  \\  \frac{18}{16}  = 9.8 {t}^{2}  \\ \frac{1.83}{16}  =  {t}^{2}  \\ t =  \frac{ \sqrt{1.83} }{ \sqrt{16} }  \\ t =  \frac{1.35}{4}
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