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.
3.63 • Leaping the River II. A physics professor did daredevil
stunts in his spare time. His last stunt was an attempt to jump across
a river on a motorcycle (Fig. P3.63). The takeoff ramp was inclined at
53.0°, the river was 40.0 m wide, and the far bank was 15.0 m lower
than the top of the ramp. The river itself was 100 m below the ramp.
Ignore air resistance. (a) What should his speed have been at the top of
the ramp to have just made it to the edge of the far bank? (b) If his speed
was only half the value found in part (a), where did he land?
Figure P3.63
53.0°
100 m
40.0 m→
15.0 m
Please solve and answer the question correctly please. Thank you!!
You throw a small rock straight up from the edge of a highway bridge that crosses a river. The rock passes you on its way down, 5.00 s after it was thrown. What is the speed of the rock just before it reaches the water 25.0 m below the point where the rock left your hand? Ignore air resistance.
Chapter 2 Solutions
University Physics with Modern Physics, Volume 1 (Chs. 1-20) and Mastering Physics with Pearson eText & ValuePack Access Card (14th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.