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/s 2 ) 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.
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/s 2 ) 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.
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.
1. A sprinter runs a 100 m race in a straight line. The
table shows how his speed changes with time
for the first 5.0 s of the race.
speed
1.7
4.1
5.7
6.5
6.8
m/s
time/s
1.0
2.0
3.0
4.0
5.0
What is the average acceleration (in m/s?) of the sprinter
between time 2.0 s and time 3.0 s?
4.1
1.9
5.7
1.6
An object has an acceleration defined by the equation a=5t+4 (m/s^2) where "t" is in seconds. The initial velocity of the object is -10 m/s and started at a position s = 40m.
1. What is the initial magnitude of the acceleration of the object? Express your answer in unit of m/s^2
2. What is the velocity of the object after 4s? Express your answer in unit of m/s.
3. What is the position of the object after 4s? Express your answer in unit of m.
A runner hopes to complete the 9.9 km run in less than 30.2 min. After running at constant speed for exactly 27.1 min, there are still 1.2 km to go. The runner must then accelerate at 0.21 m/s2 for how many seconds in order to achieve the desired time? Your answer must include two digits after the decimal point and maximum of 5% of error is accepted in your answer.
Chapter 2 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
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