First slide

Projection Under uniform Acceleration

Question

An enemy plane is flying horizontally at an altitude of 2 km with a speed of 300 ms^-1. An armyman with an anti - aircraft gun on the ground sights the enemy plane when it is directly overhead and fires a shell with a muzzle speed of 600 ms^-1. At what angle with the vertical should the gun be fired so as to hit the plane ?

Moderate

A

60°
B

30°
C

53°
D

45°

Solution

They should have same horizontal displacement.
$\begin{array}{l} 300 t = Ucos θt \\ 300 = 600 \cos θ \\ θ = 60^{\circ} with horizontal with vertical \to 30^{\circ} . \end{array}$

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