Question

You and your friend are standing in front of a conveyor belt at an airport. The belt moves at a velocity V=0.8 m/s, and it is l=200 m long. At a given moment, you step on the conveyor belt while your friend starts walking at a constant pace v=1.2 m/s.

(a) What is her velocity with respect to you?
a) 0.4 m/s
b) 1.2 m/s
c) 2.0 m/s
d) 3.0 m/s

(b) How much before you will your friend reach the end of the conveyor belt?
a) 100 seconds
b) 120 seconds
c) 150 seconds
d) 200 seconds

Answer 1

The velocity of your friend with respect to you is 0.4 m/s and your friend will reach the end of the conveyor belt in 200 seconds.

Step-by-step explanation:

(a) The velocity of your friend with respect to you can be found by calculating the relative velocity. The relative velocity is the difference between the velocities of your friend and the conveyor belt. So, her velocity with respect to you is 1.2 m/s - 0.8 m/s = 0.4 m/s. Therefore, the correct answer is a) 0.4 m/s.

(b) To find the distance at which your friend will reach the end of the conveyor belt, we can calculate the time it takes for her to cover that distance. The time, t, is given by dividing the length of the conveyor belt by her velocity: t = 200 m / 1.2 m/s = 166.67 s. Therefore, the correct answer is d) 200 seconds.