A projectile can have same range R for two angles of projection. If t₁ and t₂ be times of flight

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3-2.Motion in Plane

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A projectile can have the same range $R$ for two angles of projection. If $t_1$ and $t_2$ be the times of flights in the two cases, then the product of the two time of flights is proportional to

A$\frac{1}{{{R^2}}}$

B$R^2$

C$R$

D$\frac{1}{R}$

Solution

${t_1}{t_2} = \frac{{2R}}{g}$ (It is a formula)
${t_1}{t_2} \propto R$

Standard 11

Physics

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(AIIMS-2013)