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Question: A stone thrown with the velocity V<sub>0</sub> = 14 m/s at an angle 45° to the horizontal, dropped t...

A stone thrown with the velocity V0 = 14 m/s at an angle 45° to the horizontal, dropped to the ground at a distance 'S' from the point where it was thrown. From what height should the stone be thrown in horizontal direction with the same initial velocity so that it fall at the same spot –

A

14.2 m

B

16.9 m

C

10.0 m

D

9.6 m

Answer

10.0 m

Explanation

Solution

u2sin2θg\frac{u^{2}\sin 2\theta}{g} = u2hgu\sqrt{\frac{2h}{g}}

(14)2sin2(45)9.8\frac{(14)^{2}\sin 2(45)}{9.8} = 142(h)9.814\sqrt{\frac{2(h)}{9.8}}

h = 10 m