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Question

A particle is projected downwards from point 'A' with initial velocity 5 m/s at an angle θ=37oC with the vertical. A strong horizontal wind gives the particle a constant horizontal acceleration of 6 m/s2 in the x - direction. If the particle strikes the ground directly under its released position, the height 'h' of point A (in m) is (answer upto two decimal places). The downward acceleration is taken as g=10 m/s2 , take (sin37°=3/5, cos37°=4/5)

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Solution



For A to B sx=uxt+12a2x0= using t+12at2t=2usinθa=2(5)sin37°6=1 sec. sy=h=AB=uyt+12ayt2=ucosθt+12gt2=(5)(45)(1)+12(10(1))=9 m

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