Three point particles A, B and C are projected from same point with same speed at t = 0 as shown in figure.
For this situation select correct statement(s).
A
All of them reach the ground at same time.
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B
All of them have same horizontal displacement when they reach the ground.
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C
All of them reach the ground with same speed.
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D
None
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Solution
The correct option is C All of them reach the ground with same speed. Vertical component of initial velocities are different ⇒ reach the ground at different time.
When a body is projected from top of the building of height H,
from equations of motion, |→v|2−|→u|2=2→g.→S |→v|2−|→u|2=2g.|→S|cosθ |→v|2−|→u|2=2g.H |→v|=√|→u|2+2g.H
Speed of the body when it reaches ground is same for all the bodies, irrespective of angle of projection.