Question

You are travelling at 60.0 mph on the Grand Central Parkway near exit 10 where it is (nearly) parallel to the Long Island Expressway (LIE). a) A truck on the LIE going in the SAME direction as you is travelling at 55.0 mph. What is YOUR relative velocity compared to that truck? b) A truck on the LIE going in the OPPOSITE direction as you is travelling at 55.0 mph. What is YOUR relative velocity compared to that truck?

Answer 1

a)Vr= 5 mph

b)Vr= 115 mph

Step-by-step explanation:

Lets

your velocity ,u= 60 mph

velocity of truck ,v= 55 mph

When object are moving in opposite direction the relative velocity = u +v When object are moving in opposite direction the relative velocity = u - v

a)

Truck is moving in the same direction ,so the relative velocity

Vr= = u - v

Vr= 60 - 55

Vr= 5 mph

b)

Truck is moving in the opposite direction ,so the relative velocity

Vr= = u+v

Vr= 60 + 55

Vr= 115 mph