First slide

Projectile motion

Question

A body is projected with velocity v₁, from the point A as shown in figure. At the same time, another body is projected vertically upwards from B with velocity v₂. The point B lies vertically below the highest point of first particle. For both the bodies to collide , v₂/v₁ should be

Moderate

A

2
B

$\sqrt{\frac{3}{2}}$
C

0.5
D

1

Solution

Vertical component of both should be same.
$v_{2} = v_{1} \sin 30^{\circ} \Rightarrow \frac{v_{2}}{v_{1}} = \frac{1}{2} = 0 .5$

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