Question

6.
A man is running up hill with a velocity (2i+3j ) m/s w.r.t.ground. He feels that the rain drops are falling vertically
with velocity 4 m/s. If he runs down hill with same speed, find m.
​

Answer 1

Hey Dear,

◆ Answer -

Velocity of rain w.r.t. man = √29 m/s

● Explanation -

Magnitude of velocity of the man is calculated as -

|vm| = √(vx^2 + vy^2)

|vm| = √(2^2 + 3^2)

|vm| = √(4 + 9)

|vm| = √13 m/s

Velocity of rain with respect to man is calculated as -

vrm = vr - vm

|vrm| = √(|vr|^2 + |vm|^2)

|vrm| = √(4^2 + √13^2)

|vrm| = √(16 + 13)

|vrm| = √29 m/s

Hence, velocity of rain w.r.t. man is √29 m/s.

Hope this helps you...