Travelling due north at a speed of 50 km/h , a motor car executes a 90^ left turn while maintaining its speed. The change in the car's velocity is approximately

Step-by-step solution

Initial velocity of the car, v ₁ = 50 j Final velocity of the car after a 90^ left turn (towards west), v ₂ = -50 i Change in velocity, v = v ₂ - v ₁ = -50 i - 50 j Magnitude of change in velocity, | v | = (-50)^2 + (-50)^2 = 50 2 70.7 km/h The direction of v is along - i - j , which corresponds to the south-west direction. Thus, the change in velocity is approximately 70 km/h towards south-west.