a.
To calculate: The time taken by the horses to finish the race.
a.
Answer to Problem 12E
The time taken is
Explanation of Solution
Given information:
The table of values is as shown below.
Distance(F) | Time(t) |
0 | 0 |
1 | 20 |
2 | 33 |
3 | 46 |
4 | 59 |
5 | 73 |
6 | 86 |
7 | 100 |
8 | 112 |
9 | 124 |
10 | 135 |
Calculation:
From the table of values, the total time taken to finish the race is
Conclusion: The total time is
b.
To calculate: The average speed over first five furlongs.
b.
Answer to Problem 12E
The average speed is
Explanation of Solution
Given information:
The table of values is as shown below.
Distance(F) | Time(t) |
0 | 0 |
1 | 20 |
2 | 33 |
3 | 46 |
4 | 59 |
5 | 73 |
6 | 86 |
7 | 100 |
8 | 112 |
9 | 124 |
10 | 135 |
Concept used:
The formula for average speed is
Calculation:
Average speed can be calculated as shown below.
Conclusion: The average speed is
c.
To calculate: The speed at
c.
Answer to Problem 12E
The speed is
Explanation of Solution
Given information:
The table of values is as shown below.
Distance(F) | Time(t) |
0 | 0 |
1 | 20 |
2 | 33 |
3 | 46 |
4 | 59 |
5 | 73 |
6 | 86 |
7 | 100 |
8 | 112 |
9 | 124 |
10 | 135 |
Concept used:
The formula for speed is
Calculation:
Substitute the values in the formula,
Conclusion: The speed is
d.
To calculate: The furlong mark at which the velocity is fastest.
d.
Answer to Problem 12E
The velocity is fastest between
Explanation of Solution
Given information:
The table of values is as shown below.
Distance(F) | Time(t) |
0 | 0 |
1 | 20 |
2 | 33 |
3 | 46 |
4 | 59 |
5 | 73 |
6 | 86 |
7 | 100 |
8 | 112 |
9 | 124 |
10 | 135 |
Concept used:
The formula for velocity is
Calculation:
The table of values of velocity for each furlong mark is as shown below.
Calculation | Velocity |
Conclusion: The velocity is greatest between
e.
To calculate: The furlong mark at which the acceleration is fastest.
e.
Answer to Problem 12E
The velocity is fastest at
Explanation of Solution
Given information:
The table of values is as shown below.
Distance(F) | Time(t) |
0 | 0 |
1 | 20 |
2 | 33 |
3 | 46 |
4 | 59 |
5 | 73 |
6 | 86 |
7 | 100 |
8 | 112 |
9 | 124 |
10 | 135 |
Concept used:
The formula for acceleration is
Calculation:
The table of values of velocity for each furlong mark is as shown below.
Calculation | Acceleration |
Conclusion: The acceleration is greatest at
Chapter 2 Solutions
Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020
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