In a projectile motion, velocity at maximum height is? when particle projected with u velocity making angle q with horizontal
U cos e
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At the time of projection, the particle's speed is u and the particle's speed at the highest point the particle's speed is ucosθ. So, the change in speed is,
Δu=u−ucosθ
Now, the initial velocity is,
u=ucosθi^+usinθj^
and the final velocity (at highest point) is,
v=ucosθi^
Therefore, the change in velocity is,
Δv=u−v=ucosθi^+usinθj^−ucosθi^=usinθj^
⇒∣Δv∣=usinθ
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