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Question

Physics Question on projectile motion

Trajectories of two projectiles are shown in figure. Let T1T_{1} and T2T_{2} be the time of flight and u1u_{1} and u2u_{2} are their speeds of projections, then

A

T2>T1T_{2} >\, T_{1}

B

T2=T1T_{2} = T_{1}

C

u1>u2u_{1} > \, u_{2}

D

u1<u2u_{1} < \, u_{2}

Answer

T2=T1T_{2} = T_{1}

Explanation

Solution

Since the height of both the projectiles are same, we have: H1=H2H _{1}= H _{2} u12sin2θ12g=u22sin2θ22g\frac{ u _{1}^{2} \sin ^{2} \theta_{1}}{2 g }=\frac{ u _{2}^{2} \sin ^{2} \theta_{2}}{2 g }