A particle is thrown with initial speed U at angle theta with horizontal. Find the time after which velocity of projectile becomes perpendicular to its initial velocity
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Explanation:
let theta = ∝
vy = usin∝ - gt
vx = ucos∝
tan(90+∝) = vy/vx = -1/ tan∝ = usin∝ - gt ÷ucos∝
-tan∝ = ucos∝ ÷ usin∝ - gt
usin∝ - gt = -ucos∝ ÷ tan∝ = - ucos∝cot∝
gt = u (sin∝ +cos∝cot∝) = u(sin∝ +cos²∝/sin∝) = ucosec∝
t = ucosec∝/g = ucsc∝/10 sec.
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