An airport worker needs to make it across a luggage belt in order to retrieve a stuck suitcase. The belt is moving with 1.6 m/s, and the worker can run with v=1.7 m/s. If he wants to make it straight across the d=2.3 m wide belt, how long will it take for him to reach the other side?
d=velocity*time
2.3=1.7*t solve for time.
Ok but that's where I'm lost at I don't know how to solve for time or where to start
To find out how long it will take for the airport worker to reach the other side of the luggage belt, we need to calculate the time it takes for him to travel the distance of 2.3 meters.
The worker is running on a moving belt, so we need to take into account their relative velocity. The relative velocity is the difference between the worker's velocity and the velocity of the luggage belt.
The velocity of the luggage belt is given as 1.6 m/s, and the worker's running speed is 1.7 m/s. Since the belt is moving in the opposite direction of the worker's motion, we subtract the belt's velocity from the worker's velocity.
Relative velocity = worker's velocity - belt's velocity
Relative velocity = 1.7 m/s - 1.6 m/s
Relative velocity = 0.1 m/s
Now that we have the relative velocity, we can use the formula time = distance / velocity to calculate the time taken.
Time = Distance / Relative velocity
Time = 2.3 m / 0.1 m/s
Time = 23 seconds
Therefore, it will take the worker 23 seconds to reach the other side of the luggage belt.