Concept explainers
a.
To find the height of the cannonball
a.
Answer to Problem 53E
The speed is as shown
Explanation of Solution
Given information:
Calculation:
For every t =1, 2, 3..till the height comes in negative.
t | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
h | 118 | 198 | 246 | 262 | 246 | 198 | 118 | 6 |
b.
To find the time at height of 150
b.
Answer to Problem 53E
The height is 150 feet between 1 and 2 seconds, also between 6 and 7 seconds
Explanation of Solution
Given information:
Calculation:
Based on the observation, the height is 150 feet between 1 and 2 seconds, also between 6 and 7 seconds.
c.
To use graph to find number of seconds
c.
Answer to Problem 53E
The answer is 1.4 seconds.
Explanation of Solution
Given information:
Calculation:
The equation is
Graph of the equation is:
Interpretation:
At 1 and 2 seconds, the value is closer to 150. Make a table between x - values between 1 and 2. Use an increment of 0.1. Look for change of sign of the function values.
The table is
t | 1.1 | 1.2 | 1.3 | 1.4 | 1.5 | 1.6 | 1.7 | 1.8 | 1.9 |
h | 127.44 | 136.4 | 145.36 | 153.84 | 162 | 169.84 | 177.36 | 184.56 | 191.44 |
So, the closest value to 150 is 153.84. Hence, the answer is 1.4 seconds.
Chapter 9 Solutions
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