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An artillery piece which consistently shoots with the same muzzle speed has maximum range of R to hit a target which is R/2 from  the gun on the same level , at what elevation angle should the can be pointed_?? (1)30° (2)45° (3)60° (4)75°
Asked by jhajuhi19 | 29 Jun, 2019, 10:37: AM
answered-by-expert Expert Answer
Maximum Range = u2/(2g)  = R   .................(1)
 
where u is muzzle speed and g is acceleration due to gravity.
 
if target is at a distance R/2,  then required angle α for getting range R/2 is given by,  ( u2 sin2α ) / (2g)  = R/2 ...............(2)
 
By comparing eqns.(1) and (2),   sin2α =  sin(180-2α) = (1/2) 
 
Hence (180-2α) = sin-1(1/2) = 30°  or  α = 75°
Answered by Thiyagarajan K | 29 Jun, 2019, 11:23: AM

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