Answer:
It will take you 30.8 s to travel the 120 m of the ramp.
Explanation:
Hi there!
The equation for the position of an object moving in a straight line is:
x = x0 + v * t
Where:
x = position at time t
x0 = initial position
v = velocity
t = time
In this case, we will consider the start of the ramp as the origin of our reference system so that x0 = 0.
Now, let´s calculate the speed of the person walking on the ground:
x = v * t
120 m = v * 72 s
v = 120 m / 72 s
v = 1.7 m/s
If you walk on the ramp with that speed, your total speed will be your walking speed plus the speed of the ramp because both are in the same direction. Then, using the equation for the position:
x = v * t
In this case, v = speed of the ramp + walking speed
v = 2.2 m/s + 1.7 m/s = 3.9 m/s
120 m = 3.9 m/s * t
t = 120 m / 3.9 m/s = 30.8 s
It will take you 30.8 s to travel the 120 m
