Consider the following problem. Find the distance traveled in 14 seconds by an object traveling at a constant velocity of 12 feet per second. Decide whether the problem can be solved using precalculus, or whether calculus is required. O The problem can be solved using precalculus. O The problem requires calculus to be solved. If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. ft

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Consider the following problem:

**Question:**
Find the distance traveled in 14 seconds by an object traveling at a constant velocity of 12 feet per second.

**Instructions:**
Decide whether the problem can be solved using precalculus, or whether calculus is required.

*Options:*
1. The problem can be solved using precalculus.
2. The problem requires calculus to be solved.

**Next Steps:**
If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution.

**Answer Box:**
\[ \boxed{\text{ \_\_ }} \text{ ft} \]

**Analysis:**
In this case, since the velocity is constant, you can use precalculus to solve for the distance traveled. The distance \(d\) can be calculated using the formula:
\[ d = v \times t \]
where:
- \( v \) is the constant velocity (12 feet per second),
- \( t \) is the time (14 seconds).

By plugging in the values:
\[ d = 12 \, \text{ft/sec} \times 14 \, \text{sec} \]
\[ d = 168 \, \text{feet} \]
Thus, the distance traveled is 168 feet.
Transcribed Image Text:**Problem Statement:** Consider the following problem: **Question:** Find the distance traveled in 14 seconds by an object traveling at a constant velocity of 12 feet per second. **Instructions:** Decide whether the problem can be solved using precalculus, or whether calculus is required. *Options:* 1. The problem can be solved using precalculus. 2. The problem requires calculus to be solved. **Next Steps:** If the problem can be solved using precalculus, solve it. If the problem seems to require calculus, use a graphical or numerical approach to estimate the solution. **Answer Box:** \[ \boxed{\text{ \_\_ }} \text{ ft} \] **Analysis:** In this case, since the velocity is constant, you can use precalculus to solve for the distance traveled. The distance \(d\) can be calculated using the formula: \[ d = v \times t \] where: - \( v \) is the constant velocity (12 feet per second), - \( t \) is the time (14 seconds). By plugging in the values: \[ d = 12 \, \text{ft/sec} \times 14 \, \text{sec} \] \[ d = 168 \, \text{feet} \] Thus, the distance traveled is 168 feet.
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