Concept explainers
The graph of velocity and acceleration of the particle.
![Check Mark](/static/check-mark.png)
Answer to Problem 66PE
The graph of velocity and acceleration of the particle is shown in figure (2) and figure (3) respectively.
Explanation of Solution
Given:
The given figure is,
Figure (1)
Formula used:
The velocity of particle is given as,
The acceleration of particle is given as,
Calculation:
From figure (1),
Position (m) | Time (s) |
The velocity of particle from
The velocity of particle from
The velocity of particle from
The velocity of particle from
The velocity of particle from
The velocity of particle from
The graph of velocity versus time of the particle is shown below.
Figure (2)
The acceleration of particle is calculated as,
From figure (2) it can be seen that the velocity suddenly changes at
The graph of acceleration versus time of the particle is shown below.
Figure (3)
Conclusion:
The graph of velocity and acceleration of the particle is shown in figure (2) and figure (3) respectively.
Want to see more full solutions like this?
Chapter 2 Solutions
College Physics
- A kangaroo can jump over an object 1.3 m high. Considering just its vertical motion, how long the kangaroo is in the air (hint: consider up and down motions)? Write the answer in seconds. of on Answer: 0.515arrow_forwardThe velocity of a particle moving along x-axis is defined by v=s3-4s2+6s where v is in m/s and s in meters. Compute the velocity when s=2m, compute the acceleration when s=2m.arrow_forwardA ball is tossed vertically from the top of a building that is 96 stories tall (approximately 864 ft) with an initial velocity of 30 ft/sec. The initial acceleration is given by a=−32 ft/sec2. 1. Write the velocity equation with t as the variable and v as velocity. 2. Write the displacement equation with t as the variable and s as the displacement. 3. Find the velocity at 2 seconds. ______ ft/s 4. Find the height above the ground at 2 seconds. ______ftarrow_forward
- a particle moves in a straight line according to the law x= 2t^3 -12t^2 + 4. where x is in meters and t is in seconds. a) when t= 6 sec, compute the velocity and b) when the particle comes to rest again, what is its acceleration?arrow_forwardA drag racer starts from rest and accelerates at 3.8 m/s² for the entire distance of 10 * 10 m. What is the velocity of the race car at the end of the run? answer in m/s.arrow_forwardA car has acceleration of 1.20 m/s2 and starts from 2.50 m/s. What is its speed after 5.00 seconds, in m/s? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed.arrow_forward
- 500 m 8. One drop of oil falls straight down onto the road from the engine of a moving car every 5 s. Figure shows the pattern of the drops left behind on the pavement. What is the average speed of the car over this section of its motion?arrow_forwardTo burn the fats she accumulated during the lockdown, Katie walks south at a speed of 2.00 m/s for 60.0 minutes. She then turns around and walks north a distance 3000 m in 25.0 minutes. What is her total distance covered?arrow_forwardYou drive your car from home to school at an average speed of 60 kph East for 1 hr and then continue 80 kph North for 1.5 hrs. 1. What is your average speed for the entire trip?arrow_forward
- The motion of a particle is defined by the function x = at^3 - bt^2 + ct + d where x is in centimeters and t is in seconds What is the acceleration (in cm/s2) of the particle at t = 2.6s if a = 1.2, b = 6.1, c = 9.9, and d = 4.8. Round off the final answer to five decimal places.arrow_forwardA motor car is moving with initial velocity in the x-direction at 30 m/s. After 30 s, the car applies its brakes steadily to slow down the car to a velocity of 10 m/s in 12 s. The continues onward for 10 s more. How far in m did the car travel for the full 52 s? Report your answer to three sig figs, you don't need to write "m". HINT: Break up the problem into three stages - 30s, 12s, and the final 10s. During the 12 s, you'll need the acceleration.arrow_forwardMaria throws two stones from the top edge of a building with a speed of 2.9 x 10' m/s. The height of the building is 7 x 102 meters. She throws one straight down and the other straight up. The first one hits the street in a time tj. How much later is it before the second stone hits? answer in seconds.arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)