If you walk at 1 m/s down the aisle of a bus that is moving at 10 m/s along the road, how fast are you moving relative to the road when you walk toward the front of the bus? Toward the rear of the bus?
11m/s
You are going 11m/s ahead.
VelocityYourelativeBus+Velocitybusrelative to ground = Velocity you relative to ground
To determine your speed relative to the road when you walk towards the front or the rear of the bus, we can consider the concept of relative motion.
When you walk towards the front of the bus, your speed relative to the road will be the sum of your walking speed and the speed of the bus. So, your speed relative to the road when you walk towards the front of the bus will be 1 m/s + 10 m/s = 11 m/s.
On the other hand, when you walk toward the rear of the bus, your speed relative to the road will be the difference between your walking speed and the speed of the bus. So, your speed relative to the road when you walk toward the rear of the bus will be 1 m/s - 10 m/s = -9 m/s.
Negative sign indicates that you are moving in the opposite direction of the bus.
To determine how fast you are moving relative to the road when you walk toward the front or rear of the bus, we need to consider the concept of relative velocity.
When you walk toward the front of the bus, your speed relative to the bus is 1 m/s. Additionally, the speed of the bus relative to the road is 10 m/s. Therefore, your speed relative to the road when you walk toward the front is the sum of your speed relative to the bus and the speed of the bus relative to the road. Hence, you would be moving at 1 m/s + 10 m/s = 11 m/s relative to the road when you walk toward the front of the bus.
When you walk toward the rear of the bus, your speed relative to the bus is still 1 m/s. However, since the bus is moving at 10 m/s toward the rear of the bus, your speed relative to the road is the difference between your speed relative to the bus and the speed of the bus relative to the road. Therefore, you would be moving at 1 m/s - 10 m/s = -9 m/s (negative sign indicates moving in the opposite direction) relative to the road when you walk toward the rear of the bus.