2. 1D Motion / Kinematics

Velocity-Time Graphs & Acceleration

2. 1D Motion / Kinematics

Velocity-Time Graphs & Acceleration

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Velocity-Time Graphs & Acceleration

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Anderson Video - Motion Diagram of Accelerating Car

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Anderson Video - Motion Diagram of Accelerating Car

Motion Graphs - Velocity vs. Time Graph Part 1

Motion Graphs - Velocity vs. Time Graph Part 2

Average velocity for constant acceleration | One-dimensional motion | Physics | Khan Academy

Interpreting Velocity graphs

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Textbook Question

High-speed motion pictures (3500 frames/second) of a jumping, 210–μg flea yielded the data used to plot the graph in Fig. E2.54. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer these questions: (c) Find the flea's acceleration at 0.5 ms, 1.0 ms, and 1.5 ms.

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Textbook Question

High-speed motion pictures (3500 frames/second) of a jumping, 210–μg flea yielded the data used to plot the graph in Fig. E2.54. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer these questions: (b) Find the maximum height the flea reached in the first 2.5 ms.

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Textbook Question

High-speed motion pictures (3500 frames/second) of a jumping, 210–μg flea yielded the data used to plot the graph in Fig. E2.54. (See 'The Flying Leap of the Flea' by M. Rothschild, Y. Schlein, K. Parker, C. Neville, and S. Sternberg in the November 1973 Scientific American.) This flea was about 2 mm long and jumped at a nearly vertical takeoff angle. Use the graph to answer these questions: (a) Is the acceleration of the flea ever zero? If so, when? Justify your answer.

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Textbook Question

The Fastest (and Most Expensive) Car! The table shows test data for the Bugatti Veyron Super Sport, the fastest street car made. The car is moving in a straight line (the x-axis). (a) Sketch a vx–t graph of this car's velocity (in mi/h) as a function of time. Is its acceleration constant? (b) Calculate the car's average acceleration (in m/s2) between (i) 0 and 2.1 s; (ii) 2.1 s and 20.0 s; (iii) 20.0 s and 53 s. Are these results consistent with your graph in part (a)? (Before you decide to buy this car, it might be helpful to know that only 300 will be built, it runs out of gas in 12 minutes at top speed, and it costs more than $1.5 million!)

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Textbook Question

A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E2.30). (c) What distance does the cat move during the first 4.5 s? From t = 0 to t = 7.5 s?

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Textbook Question

A cat walks in a straight line, which we shall call the x-axis, with the positive direction to the right. As an observant physicist, you make measurements of this cat's motion and construct a graph of the feline's velocity as a function of time (Fig. E2.30). (b) What is the cat's acceleration at t = 3.0 s? At t = 6.0 s? At t = 7.0 s?

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Textbook Question

A ball moves in a straight line (the x-axis). The graph in Fig. E2.9 shows this ball's velocity as a function of time. (a) What are the ball's average speed and average velocity during the first 3.0 s?

FIGURE EX2.8 showed the velocity graph of blood in the aorta. What is the blood's acceleration during each phase of the motion, speeding up and slowing down?

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Textbook Question

FIGURE EX2.9 shows the velocity graph of a particle. Draw the particle's acceleration graph for the interval .

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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 = 2m at t0 = 0s (b) What are the particle's position, velocity, and acceleration at t = 3.0s

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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 = 2m at t0 = 0s (a) What are the particle's position, velocity, and acceleration at t = 1.0s

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Textbook Question

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?

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Textbook Question

(II) Figure 2–42 shows the velocity of a train as a function of time.

(a) At what time was its velocity greatest?

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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

(a) second gear and (b) fourth gear. <IMAGE>

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Textbook Question

(II) 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.

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Textbook Question

(II) Figure 2–42 shows the velocity of a train as a function of time.

(b) During what periods, if any, was the velocity constant?

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Textbook Question

(II) Figure 2–42 shows the velocity of a train as a function of time.

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Textbook Question

(II) Figure 2–42 shows the velocity of a train as a function of time.

(d) When was the magnitude of the acceleration greatest?

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