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 $\frac{\pi}{3}$ and the maximum height reached by it is 102 m. Then the maximum height reached by the other in metre is –

• A. 336
• B. 224
• C. 56
• D. 34

Answer 1

Answer: (D)

34

Answer 2

Since both projectiles have equal range, thus angle of projection of second is (90 – q).

̃ $\frac { \mathrm { H } _ { 1 } } { \mathrm { H } _ { 2 } }$ = tan² 60⁰

̃ H₂ = H₁/3 = 34 m