Question

A body is simultaneously given two velocities one 10m/s due east and other 20m/s due north-west. calculate the resultant velocity

Answer 1

Given: First velocity (v₁) = 10 m/s due east = (10 i + 0 j) m/s

Second velocity (v₂) = 20 m/s due north-west

= [20 cos (90° +30°) i + 20 sin (90° +30°) j] m/s

or, = [- 20 sin (30°) i + 20 cos (30°) j] m/s

or, = (- 10 i + 17.32 j) m/s

Now, we shall find the resultant of these two velocities by their vector additions.

V resultant = (v₁) + (v₂)

or, = [(10 i + 0 j) m/s] +[(- 10 i + 17.32 j) m/s]

or, = 17.32 j m/s = 17.32 m/s due north

Hence, the resultant velocity will be 17.32 m/s due north.

Answer 2

Hope it's helpful..