A projectile is projected with kinetic energy K, it has the maximum possible horizontal range, then its kinetic energy at the highest point will be
(a) 0.25 K
(b) 0.5 K
(c) 0.75 K
(d) K.
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Answer is (b) 0.5 K
Since range is maximum therefore θ = 45°, hence vx = ν cos45° = ν/√2.
At the highest point the net velocity of the projectile is νx.