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Sir plz solve it and help me the way u r getting the angle of initial velocity with ground level,I mean the full calculation plzzz
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Asked by vishakhachandan026 | 23 May, 2019, 13:12: PM
answered-by-expert Expert Answer
Horizontal Range R for projectile motion  is given by,  begin mathsize 12px style R space equals space fraction numerator u squared sin 2 alpha over denominator 2 g end fraction space space........................... left parenthesis 1 right parenthesis end style
where u is projection speed, α is projection angle and g is acceleration due to gravity.
 
Here bird is at a distance 100 m, hence range R = 100 m  and bullet speed u = 500 m/s
 
hence from eqn.(1), we get sin(2α) = 100×2×10/(500×500)  = 0.008  .............(2)
 
hence α = (1/2)sin-1(0.008) = 0.23°
 
If aiming height is h, then   h = 100×tanα = 100×tan(0.23°) ≈ 40 cm
 
Answered by Thiyagarajan K | 23 May, 2019, 15:10: PM

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