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At some airports there are speed ramps to help passengers get from one place to another. A speed ramp is a moving conveyor belt on which you can either stand or walk. Suppose a speed ramp has a length of 105 m and is moving at a speed of 2.0 m/s relative to the ground. In addition, suppose you can cover this distance in 75 s when walking on the ground. If you walk at the same rate with respect to the speed ramp that you walk on the ground, how long does it take for you to travel the 105 m using the speed ramp?

$t=30.88 \mathrm{s}$

Physics 101 Mechanics

Chapter 3

Kinematics in Two Dimensions

Motion in 2d or 3d

Cornell University

University of Washington

Hope College

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

10:12

A vector is a mathematical entity that has a magnitude (or length) and direction. The vector is represented by a line segment with a definite beginning, direction, and magnitude. Vectors are added by adding their respective components, and multiplied by a scalar (or a number) to scale the vector.

01:16

At some airports there are…

03:04

"56_ At some airports…

02:31

01:55

A speed ramp at an airport…

01:37

A moving walkway in an air…

02:08

As you hurry to catch your…

02:18

01:03

You are walking on a movin…

01:53

A "moving sidewalk&qu…

02:43

$\because$ As you hurry to…

02:20

The airport terminal in Ge…

02:48

03:26

so the question states that a speed ramp that's 105 meters along moves at a speed of two meters per second. And we're also told that a person not walking on the speed room can move can walk 105 meters in 75 seconds. Ever told if this person walks at the same speed that they walked while not on the conveyor belt, how fast can they complete? Can they walk the 105 meters while on the commuter belt? So the first thing we need to do is figure out what the speed is of the walker when he's not on the commuter boat, so we can use the equation that states that the velocity times that time is equal to the change in displacement. And so we know that the time is 75 seconds and we know the displacement is 105 meters. So the velocity that he travels that when not on the conveyor belt is 1.4 meters per second. So now when he gets on the computer bill, he will be moving at 1.4 meters per second because he's walking and he'll also be moving an additional two meters per second. So who will be moving at a total of three point four meters per second while on the commuter belt. So since we know his speed and we know the distance, we can figure out how long it takes him to go that distance. So we use the same equation that we used before. The speed is 3.4 meters per second. We do not know the time and we know the distance is 105 meters, so we can divide by 3.4 on both sides and we find that T is equal to 30 0.88 seconds.

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