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The position of a racing car, which starts from rest at t
Chapter 25, Problem 20P(choose chapter or problem)
The position of a racing car, which starts from rest at t = 0 and moves in a straight line, is given as a function of time in the following Table. Estimate (a) its velocity and (b) its acceleration as a function of time. Display each in a Table and on a graph.
t(s) |
0 |
0.25 |
0.50 |
0.75 |
1.00 |
1.50 |
2.00 |
2.50 |
x(m) |
0 |
0.11 |
0.46 |
1.06 |
1.94 |
4.62 |
8.55 |
13.79 |
t(s) |
3.00 |
3.50 |
4.00 |
4.50 |
5.00 |
5.50 |
6.00 |
|
x(m) |
20.36 |
28.31 |
37.65 |
48.37 |
60.30 |
73.26 |
87.16 |
|
Questions & Answers
QUESTION:
The position of a racing car, which starts from rest at t = 0 and moves in a straight line, is given as a function of time in the following Table. Estimate (a) its velocity and (b) its acceleration as a function of time. Display each in a Table and on a graph.
t(s) |
0 |
0.25 |
0.50 |
0.75 |
1.00 |
1.50 |
2.00 |
2.50 |
x(m) |
0 |
0.11 |
0.46 |
1.06 |
1.94 |
4.62 |
8.55 |
13.79 |
t(s) |
3.00 |
3.50 |
4.00 |
4.50 |
5.00 |
5.50 |
6.00 |
|
x(m) |
20.36 |
28.31 |
37.65 |
48.37 |
60.30 |
73.26 |
87.16 |
|
ANSWER:
Step 1 of 8
The following are given by the question.
The velocity is defined as change in the position of the object concerning time. the velocity of the car can be calculated as,
Calculate the velocity between the time ,