Table of contents

0. Math Review31m
- Math Review
  31m
1. Intro to Physics Units1h 29m
2. 1D Motion / Kinematics3h 56m
3. Vectors2h 43m
4. 2D Kinematics1h 42m
5. Projectile Motion3h 6m
6. Intro to Forces (Dynamics)3h 22m
7. Friction, Inclines, Systems2h 44m
8. Centripetal Forces & Gravitation7h 26m
9. Work & Energy1h 59m
10. Conservation of Energy2h 54m
11. Momentum & Impulse3h 40m
12. Rotational Kinematics2h 59m
13. Rotational Inertia & Energy7h 4m
14. Torque & Rotational Dynamics2h 5m
15. Rotational Equilibrium3h 39m
16. Angular Momentum3h 6m
17. Periodic Motion2h 9m
18. Waves & Sound3h 40m
19. Fluid Mechanics4h 27m
20. Heat and Temperature3h 7m
21. Kinetic Theory of Ideal Gases1h 50m
22. The First Law of Thermodynamics1h 26m
23. The Second Law of Thermodynamics3h 11m
24. Electric Force & Field; Gauss' Law3h 42m
25. Electric Potential1h 51m
26. Capacitors & Dielectrics2h 2m
27. Resistors & DC Circuits3h 8m
28. Magnetic Fields and Forces2h 23m
29. Sources of Magnetic Field2h 30m
30. Induction and Inductance3h 38m
31. Alternating Current2h 37m
32. Electromagnetic Waves2h 14m
33. Geometric Optics2h 57m
34. Wave Optics1h 15m
35. Special Relativity2h 10m

2. 1D Motion / Kinematics

Vectors, Scalars, & Displacement

Physics

2. 1D Motion / Kinematics

Vectors, Scalars, & Displacement

Previous problemNext problem

2:47 minutes

Problem 10b

Textbook Question

FIGURE EX1.10 shows two dots of a motion diagram and vector. Copy this figure, then add dot 4 and the next velocity vector if the acceleration vector at dot 3 points left.

Verified step by step guidance

Step 1: Analyze the given motion diagram. Dot 3 represents the current position, and the velocity vector V₃ points to the right, indicating motion in that direction. The acceleration vector at dot 3 is specified to point left, meaning the object is decelerating as it moves to the right.

Step 2: Understand the effect of the leftward acceleration. Since acceleration is opposite to the direction of velocity, the magnitude of the velocity will decrease as the object moves from dot 3 to dot 4.

Step 3: Predict the position of dot 4. Since the object is still moving to the right but slowing down, dot 4 will be placed to the right of dot 3, but closer to dot 3 compared to the distance between dots 2 and 3.

Step 4: Draw the velocity vector at dot 4. The velocity vector at dot 4 will still point to the right but will be shorter in length compared to V₃, reflecting the reduced speed due to the leftward acceleration.

Step 5: Add the acceleration vector at dot 3 to the diagram. The acceleration vector should be drawn pointing left at dot 3 to indicate the deceleration effect.

Verified video answer for a similar problem:

This video solution was recommended by our tutors as helpful for the problem above

Video duration:

Play a video:

Was this helpful?

Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Motion Diagrams

Motion diagrams visually represent the position of an object at various time intervals. Each dot in the diagram indicates the object's position at a specific moment, while arrows represent velocity vectors, showing the direction and magnitude of motion. Understanding motion diagrams is crucial for analyzing how an object's position changes over time and how it relates to velocity and acceleration.

Velocity and Acceleration

Velocity is a vector quantity that describes the rate of change of an object's position, including both speed and direction. Acceleration, also a vector, indicates the rate of change of velocity over time. In the context of the question, the relationship between velocity and acceleration is essential, as acceleration can affect the object's speed and direction, particularly when it points in the opposite direction of the velocity.

Vector Addition

Vector addition is the process of combining two or more vectors to determine a resultant vector. This is particularly important in physics when analyzing motion, as both velocity and acceleration are vectors. In the given scenario, understanding how to add the acceleration vector to the existing velocity vector will help determine the new velocity vector for dot 4, especially since the acceleration is directed opposite to the velocity.

Watch next

Master Introduction to Vectors and Scalars with a bite sized video explanation from Patrick

Start learning

Related Videos

Related Practice

Textbook Question

You drop a soccer ball from your third-story balcony. Use the particle model to draw a motion diagram showing the ball's position and average velocity vectors from the time you release the ball until the instant it touches the ground.

1085

views

Textbook Question

A jet plane lands on the deck of an aircraft carrier and quickly comes to a halt. Draw a basic motion diagram, using the s from the video, from the time the jet touches down until it stops.

1005

views

Textbook Question

You are watching a jet ski race. A racer speeds up from rest to 70 mph in 10 s, then continues at a constant speed. Draw a basic motion diagram of the jet ski, using s from the video, from its start until 10 s after reaching top speed.

579

views

Textbook Question

A jet plane is cruising at 300 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 4.0 km, the jet is moving with a speed of 400 m/s. What is the jet's acceleration as it speeds up?

835

views

Textbook Question

FIGURE EX1.9 shows five points of a motion diagram. Use Tactics Box 1.2 to find the average acceleration vectors at points 1, 2, and 3. Draw the completed motion diagram showing velocity vectors and acceleration vectors.

1487

views

Textbook Question

FIGURE EX1.8 shows the first three points of a motion diagram. Is the object's average speed between points 1 and 2 greater than, less than, or equal to its average speed between points 0 and 1? Explain how you can tell.

721

views

Textbook Question

A car traveling at 30 m/s runs out of gas while traveling up a 10° slope. How far up the hill will the car coast before starting to roll back down?

566

views

Textbook Question

David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.0 m/s² at the instant when David passes. How far does Tina drive before passing David?

703

views

Show more practices

Download the Mobile app

Privacy

Do not sell my personal information

Accessibility

Patent notice

Sitemap