
One car travels due east at 40 km/h, and a second car travels north at 40 km/h. Are their velocities equal? Explain

To Determine:
Whether the two cars have same velocity or not.
Solution:
Their velocities are not equal.
Explanation:
Velocity is a vector quantity which means it has both magnitude as well as direction. Speed is a scalar quantity. The magnitude of velocity is the speed. The speed of the two cars is same but their direction is different.
Thetwo cars have the same speed, 40 km/h but they are going in different directions, their velocities are different. If one draws a Cartesian plane, the North would be pointing to the positive side of the y -axis and the East to the positive side of the x- axis.
The velocities can be represented as follows:
Car 1 is traveling in North direction.
Car 2 is traveling in East direction.
Conclusions:
As it can be seen, their magnitude is the same, but they are pointing in different directions; therefore, their velocities are not equal.
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