Physics - Kinematics Question with Solution | TestHub

PhysicsKinematics2-D & 3DEasy2 minPYQ_2020

PhysicsEasysingle choice

An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range $R$ . To hit a target which is $\frac{R}{2}$ from the gun and on the same level, the angle of elevation of the gun should be

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Answer:

Solution:

$R_{max} = R = \frac{u^{2}}{g}$ (at an angle of $45 °$

$u^{2} = Rg$

Using $Range = \frac{u^{2} sin 2 θ}{g}$

then $\frac{R}{2} = (Rg) \frac{sin 2 θ}{g}$

$sin 2 θ = \frac{1}{2}$

$2 θ = 3 0^{o} \Rightarrow θ = 1 5^{o}$

Subject:PhysicsTopic:KinematicsSubtopic:2-D & 3D

⏱ 2mℹ️ Source: PYQ_2020

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