- A bullet is fired from the gun, it covers maximum horizontal distance of 10 km. Determine the
velocity of projection and the maximum height attained by the bullet.
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Hey Dear,
◆ Answer -
u = 100√10 m/s
H = 2500 m
◆ Explanation -
# Given -
Rmax = 10 km = 10000 m
# Solution -
For maximum horizontal distance, angle of projection should be 45°.
Horizontal range is given -
R = u².sin2θ / g
10000 = u² × sin90° / 10
u² = 100000
u = 100√10 m/s
Maximum height attached by bullet is -
H = u².sin²θ / 2g
H = 100000 × sin²45° / (2 × 10)
H = 5000 × 0.5
H = 2500 m
Hope this helps you ...
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