Question

A particle is moving along a straight line with a velocity 3m/ per sec and another particle Q has velocity 5m/ per second at an angle of 30 degree to the path of P. calculate the velocity of Q relative to p?????

Answer 1

Velocity of P = 3i m/s
Velocity of Q = 5Cos30i + 5Sin30j

Velocity of Q relative to P = Velocity of Q - Velocity of P
= 5Cos30i + 5Sin30j - 3i
= 2.5srt(3)i - 3i + 2.5j
= 4.33i + 2.5j

Magnitude = sqrt(4.33^2 + 2.5^2)
= sqrt(24.9989)
= 4.94 m/s