Home Physics Motion in a Straight Line Relative Motion A man is standing on a road and observes tha…
Physics Motion in a Straight Line Relative Motion MCQ (Single Correct)

A man is standing on a road and observes that rain is falling at angle 45º with the vertical. The man starts running on the road with constant acceleration 0.5 m/s 2 . After a certain time from the start of the motion, it appears to him that rain is still falling at angle 45º with the vertical, with speed m/s . Motion of the man is in the same vertical plane in which the rain is falling. Then which of the following statement(s) are true.

A
It is not possible
B
Speed of the rain relative to the ground is 2 m/s.
C
Speed of the man when he finds rain to be falling at angle 45º with the vertical is 4m/s.
D
Speed of the man when he finds rain to be falling at angle 45º with the vertical is 8m/s.

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Text Solution

Verified by Experts
The correct answer is:
C

V rm cos 45° = V rg cos45°

V rm = 2 m/s = V rg

V rm cos 45° = V mg – V rg cos45°

+ = 4 m/s

using v 2 = u 2 + 2as for the motion of man,

s = 16 m.

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