three athletes A B and C participating in a long jump payment jump making angle 30 degree 45 degree and 60 degree with the ground with equal velocities who will be the winner
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B
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refer the pic
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Athlete B will be the winner.
- The given case is of projectile motion. In a projectile motion, the object has a constant horizontal velocity and a deaccelerating vertical velocity with constant acceleration.
- The range of the projectile is the horizontal distance covered by the object.
- Range = 2u² sin ∅ cos ∅ / g
(Here u = initial velocity, ∅ = angle of projection and g = acceleration due to gravity)
- For range to be maximum, sin ∅ cos ∅ should be maximum.
- The maximum value is when ∅ = 45°, sin 45°. cos45°
=1/√2 X 1/√2
= 1/2
- So athlete B covers the longest distance.
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