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Question: Two bodies are projected with the same velocity. If one is projected at an angle of 30<sup>o</sup> a...

Two bodies are projected with the same velocity. If one is projected at an angle of 30o and the other at an angle of 60o to the horizontal, the ratio of the maximum heights reached is

A

3 : 1

B

1 : 3

C

1 : 2

D

2 : 1

Answer

1 : 3

Explanation

Solution

H1H2=sin⁡2θ1sin⁡2θ2=sin⁡230osin⁡260o=13\frac{H_{1}}{H_{2}} = \frac{\sin^{2}\theta_{1}}{\sin^{2}\theta_{2}} = \frac{\sin^{2}30^{o}}{\sin^{2}60^{o}} = \frac{1}{3}