First slide

Projection Under uniform Acceleration

Question

Two particles A and B are projected simultaneously from the top of a tower horizontally. Particle A with velocity V and particle B with velocity 2V. If T₁ and T₂ are the times after which the particles strike the ground and R₁ and R₂ are their respective range on horizontal ground, then

Moderate

A

$T_{1} = T_{2}$
B

$R_{1} < R_{2}$
C

$2 R_{1} = R_{2}$
D

Both 1 and 3 are right

Solution

$T_{1} = T_{2} = \sqrt{\frac{2 h}{g}}$
$R_{1} = V T_{1} and R_{2} = 2 V T_{2} = 2 V T_{1} = 2 R_{1}$

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