Question

a boy is climbing a vertical tree with a speed of 5m/s and a man is running towards the tree with 10m/s. velocity of man relative to boy is

Answer 1

The Velocity " v " of the man is in the direction, say, from East to West. The velocity "u" of the boy is in the direction, say, from South to North.

As the velocities are both perpendicular to each other, we apply the vector sum.

Relative velocity = v - u
Magnitude = sqrt[ u^2 + v^2 ]
= sqrt (5^2 +10^2)
= 5 × sqrt(5) m/s.

It's direction is South West as v is towards West and (-u) is towards South.

Answer 2

Thanks for your question !

Wkt,
Relative velocity = v - u

Magnitude = √u² + v²
= √5 ² +10²
= 5 × √5 m/s.

Velocity of man relative to a boy is 5√5 m/s..