Concept explainers
(a)
Find the velocity of the particle as a function of time.
(a)
Answer to Problem 77PQ
The velocity of the particle as a function of time is
Explanation of Solution
Write the equation for velocity.
Here,
Conclusion:
Substitute
Therefore, the velocity of the particle as a function of time is
(b)
Find the position of the particle as a function of time.
(b)
Answer to Problem 77PQ
The position of the particle as a function of time is
Explanation of Solution
Write the equation for position.
Here,
Conclusion:
Substitute
Therefore, the position of the particle as a function of time is
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Chapter 4 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- A positiontime graph for a particle moving along the x axis is shown in Figure P2.5. (a) Find the average velocity in the time interval t = 1.50 s to t = 4.00 s. (b) Determine the instantaneous velocity at t = 2.00 s by measuring the slope of the tangent line shown in the graph. (c) At what value of t is the velocity zero? Figure P2.5arrow_forwardA particle at rest leaves the origin with its velocity increasing with time according to v(t) = 3.2t m/s. At 5.0s, the particle’s velocity starts decreasing according to [16.0 – 1.5(t –5.0)] m/s. This decrease continues until t = 11.0s, after which the particle’s velocity remains constant at 7.0 m/s. (a) What is the acceleration of the particle as a function of time? (b) What is the position of the particle at t = 2.0s, t = 7.0s, and t = 12.0s?arrow_forwardA particle leaves the origin with an initial velocity of ( 2.40 m/s ) x^ , and moves with constant acceleration of ( − 1.90 m/s 2 ) x ^ + ( 3.20 m/s 2 ) y ^ . (a) How far does the particle move in the x direction before turning around? (b) What is the particle’s velocity at this time? (c) Plot the particle’s position at t= 0.500 s , 1.00 s, 1.50 s, and 2.00 s. Use these results to sketch position versus time for the particle.arrow_forward
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- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning