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  • Two projectiles thrown at and <img alt="\mathrm{45^{\circ}}" src="/latex-image/?%5Cmathrm%7B45%5E%7B%

Two projectiles thrown at \mathrm{ 30^{\circ}}and \mathrm{45^{\circ}} with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is :

Option: 1

1: \sqrt{2}


Option: 2

2: 1


Option: 3

\sqrt{2}: 1


Option: 4

1: 2


Answers (1)

best_answer

\mathrm{\theta_1=30^{\circ} and \: \theta_2=45^{\circ}}
It is given that the time of ascent is same for both of them

\mathrm{T_1=T_2 }

\mathrm{\frac{u_1 \sin \theta_1}{g}=\frac{u_2 \sin \theta_2}{g} }

\mathrm{\frac{u_1}{u_2}=\frac{\sin \theta_2}{\sin \theta_1}=\frac{2}{\sqrt{2}}=\sqrt{2} }

Hence (3) is correct option



 

Posted by

Ritika Jonwal

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