Question

A car is 2.0 km west of a traffic light at $t=0$ and 5.0 km east of the light at $t=6.0$ min. Assume the origin of the coordinate system is the light and the positive $x$ direction is eastward. (a) What are the car's position vectors at these two times? (b) What is the car's displacement between 0 min and 6.0 min?

Name: Problem 25, Chapter 3: University Physics Volume 1
Uploaded: 2021-08-26T01:32:51-08:00
Duration: 1 min 51 s
Channel: Manish Kumar ( Iit K )
Description: A car is 2.0 km west of a traffic light at t=0 and 5.0 km east of the light at t=6.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) What are the car's position vectors at these two times? (b) What is the car's displacement between 0 min and 6.0 min?

   A car is 2.0 km west of a traffic light at $t=0$ and 5.0 km east of the light at $t=6.0$ min. Assume the origin of the coordinate system is the light and the positive $x$ direction is eastward. (a) What are the car's position vectors at these two times? (b) What is the car's displacement between 0 min and 6.0 min?

University Physics Volume 1

Samuel J. Ling, Jeff… 1st Edition

Chapter 3, Problem 25

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Solved by Expert Manish Kumar ( Iit K )

08/26/2021

Step 1

At $t=0$, the car is 2.0 km west of the light. Since the positive $x$ direction is eastward, the car's position vector at this time is $-2.0$ km. At $t=6.0$ min, the car is 5.0 km east of the light, so its position vector at this time is $5.0$ km. Show more…

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A car is 2.0 km west of a traffic light at $t=0$ and 5.0 km east of the light at $t=6.0$ min. Assume the origin of the coordinate system is the light and the positive $x$ direction is eastward. (a) What are the car's position vectors at these two times? (b) What is the car's displacement between 0 min and 6.0 min?

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Key Concepts

Coordinate System

A coordinate system is a reference framework that uses an origin along with axes to define positions in space. It involves choosing directions as positive or negative, which is essential for accurately describing positions and movements.

Position Vector

A position vector represents the location of an object with respect to a defined origin in a coordinate system. It specifies both magnitude and direction, which allows for the precise description of the object's location in space.

Displacement

Displacement is a vector quantity that measures the change in position of an object. It is calculated by subtracting the initial position vector from the final position vector, considering both magnitude and direction.

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