Question

a motorcycle traveling on the highway at a velocity of 120 kilometre-per-hour passes a car traveling at a velocity of 90 kilometre-per-hour from the point of view of a passenger on the car what is the velocity of a motorcycle​

Answer 1

Answer:

The relative velocity of the motorcycle to a passenger in the car is 30 km/h

Explanation:

The question relates to the principle of relative velocity and reference frames

The given parameters are;

The velocity of the motorcycle, v₁ = 120 km/h

The velocity of the car, v₂ = 90 km/h

The relative velocity of an object X with regards to another object Y is the velocity the object X will seem to be moving with to an observer in the rest frame of object Y written as $\underset{v}{\rightarrow}_{X|Y}$ = $\underset{v}{\rightarrow}_{X}$ - $\underset{v}{\rightarrow}_{Y}$

Therefore, the relative velocity of the motorcycle to the car is $v_{1|2}$ = v₁ -  v₂, which give;

$v_{1|2}$  = 120 km/h - 90 km/h = 30 km/h

The relative velocity of the motorcycle to a passenger in the car = 30 km/h.