Physics - Kinematics Question with Solution | TestHub

PhysicsKinematics2-D & 3DMedium2 minPYQ_2012

PhysicsMediumsingle choice

A projectile can have the same range $R$ for two angles of projection. If $t_{1}$ and $t_{2}$ be the times of flight in two cases, then what is the product of two times of flight?

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Solution:

$t_{1} = \frac{2 u s i n θ}{g}$ and $t_{2} = \frac{2 u s i n ( 90 - θ )}{g} = \frac{2 u c o s θ}{g}$ $∴ t_{1} t_{2} = \frac{4 u ^{2} cos θ sin θ}{g ^{2}} = \frac{2}{g} [\frac{u ^{2} sin 2 θ}{g}] = \frac{2}{g} R,$ where $R$ is the range. Hence $t_{1} t_{2} \propto R$

Stream:BITSATSubject:PhysicsTopic:KinematicsSubtopic:2-D & 3D

⏱ 2mℹ️ Source: PYQ_2012

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