You are in a car going 70 km/h and another car passes you going in the opposite direction at 70 km/h. Do both cars have the same velocity? Explain.
No. Magnitude AND direction must be equal:
V1 = 70 km/h
V2 = -70 km/h.
Momma
Velocity is a vector quantity that describes both the speed and direction of an object's motion. In this case, both cars have the same speed of 70 km/h, but they have different velocities because they are moving in opposite directions.
To understand this, let's break it down step by step:
1. Calculate the velocity of the first car: The first car is moving at a speed of 70 km/h in a specific direction. Depending on whether the car is moving towards the east, west, north, or south, the velocity will have a corresponding direction.
2. Calculate the velocity of the second car: Similarly, the second car is also moving at a speed of 70 km/h, but in the opposite direction compared to the first car. Again, depending on the direction, the velocity will be different.
Since the cars are moving in opposite directions, their velocities have opposite signs. This means that their velocities cancel each other out, resulting in a net velocity of zero. However, their speeds remain the same.
So, to answer your question, no, both cars do not have the same velocity because they are moving in opposite directions.