A student sits in the school bus traveling to her school. If the student stands up and moves at 1.5m/s toward the rear of the bus that travels at 10m/s to the east,what is her velocity relative to the observer on the side of the road? If she moves at 2.1 m/s toward the front of the bus traveling at 15 m/s east, what is her velocity relative to the observer on the side of the road?
(I feel if I get guidance on the first part the 2nd I could do by myself)
if moving in the same direction as the bus, just add the speeds.
If moving in the opposite direction, subtract her walking speed from the bus's speed.
To find the student's velocity relative to the observer on the side of the road, we need to consider the concept of relative motion.
In the first scenario, where the student moves at 1.5 m/s toward the rear of the bus, we can treat the student's motion and the bus's motion separately. Let's break it down step by step:
1. First, we need to determine the student's velocity relative to the bus. Since the student moves at 1.5 m/s toward the rear of the bus, and the bus is moving at 10 m/s to the east (horizontally), we can subtract the student's velocity from the bus's velocity to find the relative velocity between the two.
- The student's velocity relative to the bus: 1.5 m/s toward the rear.
- The bus's velocity: 10 m/s to the east.
- The relative velocity of the student relative to the bus: 10 m/s to the east - 1.5 m/s toward the rear.
2. Now, we need to find the student's velocity relative to the observer on the side of the road. We need to add the bus's velocity to the relative velocity of the student relative to the bus, as the observer on the side of the road is stationary.
- The relative velocity of the student relative to the observer: Relative velocity of the student relative to the bus + Bus's velocity.
- Therefore, the student's velocity relative to the observer on the side of the road in this scenario is the sum of the relative velocity between the student and the bus and the bus's velocity.
For the second scenario, where the student moves at 2.1 m/s toward the front of the bus traveling at 15 m/s east, you can follow the same steps as outlined above, but with different values for the student's and bus's velocity.