Concept explainers
DATA A model car starts from rest and travels in a straight line. A smartphone mounted on the car has an app that transmits the magnitude of the car’s acceleration (measured by an accelerometer) every second. The results are given in the table.
Time (s) | Acceleration ( m/s2) |
0 | 5.95 |
1.00 | 5.52 |
2.00 | 5.08 |
3.00 | 4.55 |
4.00 | 3.96 |
5.00 | 3.40 |
Each measured value has some experimental error, (a) Plot acceleration versus time and find the equation for the straight line that gives the best fit to the data, (b) Use the equation for a(t) that you found in part (a) to calculate υ(t), the speed of the car as a function of time. Sketch the graph of υ versus t. Is this graph a straight line? (c) Use your result from part (b) to calculate the speed of the car at t = 5.00 s. (d) Calculate the distance the car travels between t = 0 and t = 5.00 s.
Trending nowThis is a popular solution!
Chapter 2 Solutions
University Physics (14th Edition)
Additional Science Textbook Solutions
University Physics with Modern Physics (14th Edition)
College Physics: A Strategic Approach (4th Edition)
Conceptual Integrated Science
The Cosmic Perspective Fundamentals (2nd Edition)
Essential University Physics (3rd Edition)
Conceptual Physics (12th Edition)
- A group of students in a science class monitored the movement of a cat walking along with a straight line and recorded the cat's position in five-second intervals.The results are summarized it in the table below. time and position time(s) position (cm) 0 49.0 5 38.0 10 43.0 15 40.0 20 60.0 A. What is the displacement of the cat between t = 5.00 s and t = 20.0 s? B. What is the average velocity of the cat between t = 5.00 s and t = 20.0 s? C.What is the distance the cat traveled between t = 5.00 s and t = 20.0 s?arrow_forwardA horse canters away from its trainer in a straight line, moving 45 m away in 8.7 s. It then turns abruptly and gallops halfway back in 1.9 s. Calculate its average speed for the entire trip.Express your answer using two significant figures. Calculate its average velocity for the entire trip, using "away from the trainer" as the positive direction.Express your answer using two significant figures.arrow_forwardA ball is thrown straight down with an initial speed of 2.0 m/s from a height of 15 m. What is the position of the ball after 3.0 s, in meters? Use g = 9.8 m/s2. Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statementarrow_forward
- A particle starts at the origin (x = 0) and moves in one dimension. The figure shows the velocity of the particle as a function of time. What is the instantaneous acceleration at time t = 1 s? 8 4 12 16 Time (s) O 8.0 m/s? O -8.0 m/s2 O -4.0 m/s2 4.0 m/s2 Velocity (mk)arrow_forward1. A person walks 3 m north in 4 seconds, then walks 4 m west in 6 seconds. Determine the magnitude of her average velocity. 2.0 m/s 0.5 m/s 1.5 m/s 2.5 m/s 1.0 m/sarrow_forwardA bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A, (b) segment B, and (c) segment C? Express your answers in km/h. +50.0 +40.0 +30.0 +20.0 +10.0 0.5 1.0 1.5 2.5 3.0 2.0 Time i (h) (a) Number Units (b) Number Units (c) Number Units Position x (km)arrow_forward
- Rocket-powered sleds are used to test the human response to acceleration. If a rocket powered sled is accelerated to a speed of 444 m/s in 1.83 seconds, then what is the acceleration and what is the distance that the sled travels? A bike accelerates uniformly from rest to a speed of 7.10 m/s over a distance of 35.4 m. Determine the acceleration of the bike.arrow_forwardA vehicle accelerates down an on ramp and eventually reaches highway speed. The position of the vehicle is described by the following equation:x(t) = At2/(t+B) Write an expression for the vehicle’s instantaneous velocity as a function of time. What is the vehicle’s velocity after accelerating for 7 seconds? The equation’s parameters are as follows. A = 31 m/s B = 25 s Determine the value of the vehicle’s velocity after it has been accelerating for a long time. The equation’s parameters are as follows. A = 31 m/s B = 25 sarrow_forwardYou are driving home from school steadily at 99 km/h for 190 km . It then begins to rain and you slow to 63 km/h instantly. You arrive home after driving 5.0 hours. How far is your hometown from school?Express your answer using two significant figures. What was your average speed?Express your answer using two significant figures.arrow_forward
- A polar bear starts at the North Pole. It travels 1.0 km south, then 1.0 km east, and then returns to its starting point. This trip takes 0.75 hr. a) What was the bear's average speed? b) What was the bear's average velocity?arrow_forwardA runner is training for an upcoming road race and sets out for a weekend endurance run. In order to track the pace of the run, the runner records time splits for the entire period. This allows the runner to produce the pictured velocity versus time graph. The run is broken into six segments. 4.75 4.50 - 4.25 - 4.00 - 3.75 - 3.50 - 3 2. 6. 3.25 1 3.00 2.75 2.50 - 2.25 2.00 + 0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100105 Time (min) The average acceleration of the runner during segment 1 is zero. O positive. negative. flat. Velocity (m/s) 4.arrow_forwardA car accelerates at a constant rate from rest to 16 m/s in a distance of 74 m. What is the magnitude of its acceleration, in m/s2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.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