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) 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 v(t), the speed of the car as a function of time. Sketch the graph of v 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

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) 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 v(t), the speed of the car as a function of time. Sketch the graph of v 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

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Distance and Speed

The speed, distance and time relation forms the basis of study of motion. You will need these concepts in the study of Mechanics. This concept is applicable for students who are studying the following courses –

Question

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)
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 v(t), the speed of the
car as a function of time. Sketch the graph of v 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

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