a projectile is fired horizontally with a velocity of 98m/s from the top of a hill 490 m high.find the time taken to reach the ground , The distance of the target from the foot of hill and The velocity with which the particle hits the ground
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1.) Time taken to reach the ground:
S = ut + 0.5gt²
U = 98
g = 10
490 = 98t + 5t²
5t² + 98t - 490 = 0
t = ( -98 +/- √9604 + 9800) / 10
t = (-98 -/+ 139.30) / 10
t = 4.13 seconds.
2.) Range = ut
Range = 98 × 4.13 = 404.74 m
3.) Final velocity:
V² = U² + 2gs
V² = 9604 + 9800
V² = 19404
V = 139.30 m/s
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