A small body is projected with a velocity of $$30$$ $$m/s$$ from a point P on an inclined plane having inclination of $$30o$$ with horizontal in a direction perpendicular to the plane as shown in the figure. Then distance of the point Q from the point of projection P where the body will strike. The inclined plane is (Take$$ $$g=10$$ $$m/s2)

Question

A small body is projected with a velocity of $$30$$ $$m/s$$ from a point P on an inclined plane having inclination of $$30o$$ with horizontal in a direction perpendicular to the plane as shown in the figure. Then distance of the point Q from the point of projection P where the body will strike. The inclined plane is (Take$$ $$g=10$$ $$m/s2)

Infinity Learn · Accepted Answer

Time of flight $$T=2ugcos30o$$⇒$$T=2$$ x $$3010$$ x $$3/2sec=43sec$$∴$$PQ=12$$ x g $$sin$$α x $$T2=12$$ x $$10$$ $$sin$$ $$30o$$ x $$(43)2m=120$$ m

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