Kinematics Question 521

Question: A person walks at the rate of 3km/hr . Rain appears to him in vertical direction at the rate of 33km/hr . Find the magnitude and direction of true velocity of rain.

Options:

A)6km/hr , inclined at an angle of 45 to the vertical towards the person’s motion.

B)3km/hr , inclined at an angle of 30 to the vertical towards the person’s motion.

C)6km/hr , inclined at an angle of 30 to the vertical towards the person’s motion.

D)6km/hr , inclined at an angle of 60 to the vertical towards the person’s motion.

Show Answer

Answer:

Correct Answer: C

Solution:

[c]vr/m=vrvm

vr=vr/m+vm

|vr|=vr/m2+vm2

=(3)2+(33)2=6km/hr

tanθ=333=13θ=30



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