Motion in a Plane

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Question : 29
Total: 32
A bullet fired at an angle of 30° with the horizontal hits the ground 3.0 km away. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to be fixed, and neglect air resistance.
Solution:  
Horizontal range, R=
u2sin2θ
g
or 3=
u2sin60°
g
=
u2
g
3
2

nce the muzzle velocity is fixed, therefore, Maximum horizontal range,
Rmax=
u2
g
=23
=3.464m
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