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

Velocity-Time Graphs & Acceleration

Physics

2. 1D Motion / Kinematics

Velocity-Time Graphs & Acceleration

Previous problemNext problem

Problem 30a

Textbook Question

Figure 2–42 shows the velocity of a train as a function of time. At what time was its velocity greatest?

Verified step by step guidance

Examine the velocity vs. time graph provided in the problem. The velocity is represented on the vertical axis, and time is represented on the horizontal axis.

Identify the point on the graph where the velocity reaches its maximum value. This corresponds to the highest point on the curve of the graph.

Note the time value on the horizontal axis that corresponds to this maximum velocity. This is the time at which the train's velocity was greatest.

Ensure that the graph is properly labeled and that the units of velocity and time are clear. This will help in accurately determining the time value.

If the graph is not clear or the maximum point is ambiguous, consider interpolating or estimating the time value based on the given data points.

Verified video answer for a similar problem:

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

Play a video:

Was this helpful?

Key Concepts

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

Velocity

Velocity is a vector quantity that refers to the rate at which an object changes its position. It is defined as the displacement of the object divided by the time taken for that displacement. In the context of the question, understanding how velocity varies with time is crucial for determining when the train reached its maximum speed.

Graph Interpretation

Graph interpretation involves analyzing graphical data to extract meaningful information. In this case, the graph of velocity versus time allows us to visually identify the point at which the velocity reaches its peak. Recognizing the shape of the graph and the coordinates of its highest point is essential for answering the question accurately.

Time of Maximum Velocity

The time of maximum velocity refers to the specific moment when an object's speed is at its highest. This can be determined from the graph by locating the maximum point on the velocity curve. Understanding this concept is key to answering the question about when the train's velocity was greatest.

Watch next

Master Velocity-Time Graphs & Acceleration with a bite sized video explanation from Patrick

Start learning

Related Videos

Related Practice

Textbook Question

FIGURE EX2.9 shows the velocity graph of a particle. Draw the particle's acceleration graph for the interval 0 s ≤ t ≤ 4 s.

715

views

Textbook Question

FIGURE EX2.12 shows the velocity-versus-time graph for a particle moving along the x-axis. Its initial position is at x₀ = 2 m at t₀ = 0 s. What are the particle's position, velocity, and acceleration at t = 3.0 s?

FIGURE EX2.32 shows the acceleration graph for a particle that starts from rest at t = 0 s. What is the particle's velocity at t = 6 s?

788

views

Textbook Question

(II) A sports car accelerates approximately as shown in the velocity–time graph of Fig. 2–43. (The short flat spots in the curve represent manual shifting of the gears.) Estimate the car's average acceleration in second gear.

653

views

Textbook Question

Given v(t) = 25 + 18t, where v is in m/s and t is in s, use calculus to determine the total displacement from t₁ = 1.3 s to t₂ = 3.6 s.

703

views

Textbook Question

Figure 2–42 shows the velocity of a train as a function of time. During what periods, if any, was the velocity constant?

542

views

Textbook Question

Figure 2–42 shows the velocity of a train as a function of time. During what periods, if any, was the acceleration constant?