You encounter a moving walkway that is 97 m long and has a speed of 2.0 m/s relative to the ground.
How long would it take you to cover the 97 m length of the walkway if, once you get on the walkway, you immediately turn around and start walking in the opposite direction with a speed of 1.5 m/s relative to the walkway?
To calculate the time it would take you to cover the 97 m length of the walkway, we can use the formula:
time = distance / speed
First, let's calculate the time it would take you to cover the 97 m length of the walkway without walking in the opposite direction. Since the walkway is moving with a speed of 2.0 m/s and you are just standing on it, your speed relative to the ground is also 2.0 m/s.
So, the time it would take you to cover the 97 m length of the walkway without walking in the opposite direction is:
time = 97 m / 2.0 m/s = 48.5 s
Now, let's calculate the time it would take you to cover the 97 m length of the walkway if you turn around and start walking in the opposite direction with a speed of 1.5 m/s relative to the walkway.
In this case, your net speed relative to the ground is the difference between the walkway speed and your walking speed:
net speed = walkway speed - walking speed
net speed = 2.0 m/s - 1.5 m/s = 0.5 m/s
Now, we can calculate the time it would take you to cover the 97 m length of the walkway while walking in the opposite direction:
time = 97 m / 0.5 m/s = 194 s
So, it would take you 194 seconds to cover the 97 m length of the walkway if you turn around and start walking in the opposite direction with a speed of 1.5 m/s relative to the walkway.
To calculate the time it would take to cover the 97 m length of the walkway, we can use the formula:
Time = Distance / Speed
First, let's determine the speed at which you will be moving relative to the ground. Since the walkway has a speed of 2.0 m/s relative to the ground, and you are walking in the opposite direction with a speed of 1.5 m/s relative to the walkway, the total speed relative to the ground would be:
Speed = Walkway speed + Walk speed
Speed = 2.0 m/s + (-1.5 m/s) (negative sign indicates opposite direction)
Speed = 0.5 m/s
Now, we can use this speed to calculate the time it would take to cover the 97 m length:
Time = Distance / Speed
Time = 97 m / 0.5 m/s
Time = 194 seconds
Therefore, it would take approximately 194 seconds to cover the 97 m length of the walkway if you immediately turn around and start walking in the opposite direction with a speed of 1.5 m/s relative to the walkway.
Your forward speed relative to the building will be 2.0 - 1.5 = 0.5 m/s.
Divide 97 m by that speed for the required time, in seconds.