Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is π$$3and$$ maximum height reached is $$102m$$. Then the maximum height reached by the other in meter is $$____$$

Question

Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is π$$3and$$ maximum height reached is $$102m$$. Then the maximum height reached by the other in meter is $$____$$

Infinity Learn · Accepted Answer

θ$$1=60$$∘ θ$$2=90$$∘−$$60$$∘$$=30$$∘ ∵$$R1=R2$$ $$102=u22g$$×$$sin$$⁡$$60$$∘ $$H1=u22g$$×$$sin2$$⁡$$30$$∘ $$=u22g$$×$$34$$,              $$=u22g$$×$$14$$ ⇒$$H1=34$$ m

Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is $\frac{π}{3}$ and maximum height reached is 102m. Then the maximum height reached by the other in meter is ____

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Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is π3and maximum height reached is 102m. Then the maximum height reached by the other in meter is ____

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angle of projection of one is $\frac{π}{3}$ and maximum height reached is 102m. Then the maximum height reached by the other in meter is ____