A Car Accelerated From 88 Feet Per Second (fps) To 220 Fps In Exactly 3 Seconds. Assuming The Acceleration Was Constant, What Was The Car's Acceleration, In Feet Per Second Per Second, From 88 Fps To 220 Fps?A) $\frac{1}{44}$ B) $29
In physics, acceleration is a fundamental concept that describes the rate of change of velocity of an object with respect to time. It is a measure of how quickly an object's speed or direction changes. In this article, we will explore the problem of finding the acceleration of a car that accelerates from 88 feet per second (fps) to 220 fps in exactly 3 seconds.
The Formula for Acceleration
The formula for acceleration is given by:
a = Δv / Δt
where a is the acceleration, Δv is the change in velocity, and Δt is the time over which the acceleration occurs.
Given Values
In this problem, we are given the following values:
- Initial velocity (v_i) = 88 fps
- Final velocity (v_f) = 220 fps
- Time (t) = 3 seconds
Finding the Change in Velocity
To find the acceleration, we need to find the change in velocity (Δv). This can be calculated as:
Δv = v_f - v_i = 220 fps - 88 fps = 132 fps
Finding the Acceleration
Now that we have the change in velocity, we can find the acceleration using the formula:
a = Δv / Δt = 132 fps / 3 seconds = 44 fps/s
Simplifying the Answer
The answer can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. This gives us:
a = 44 fps/s = 11 fps/s
However, this is not among the answer choices. Let's re-examine our calculation.
Re-examining the Calculation
Upon re-examining the calculation, we realize that we made an error in simplifying the answer. The correct answer is:
a = 44 fps/s
Conclusion
In conclusion, the car's acceleration from 88 fps to 220 fps in exactly 3 seconds is 44 fps/s.
Answer Choice Analysis
Let's analyze the answer choices:
A) $\frac{1}{44}$
This answer choice is incorrect because it represents a fraction, not a decimal value.
B) $29$
This answer choice is incorrect because it represents a decimal value, not a fraction.
Final Answer
The final answer is:
In our previous article, we explored the problem of finding the acceleration of a car that accelerates from 88 feet per second (fps) to 220 fps in exactly 3 seconds. In this article, we will provide a Q&A section to help clarify any doubts and provide additional information.
Q: What is the formula for acceleration?
A: The formula for acceleration is given by:
a = Δv / Δt
where a is the acceleration, Δv is the change in velocity, and Δt is the time over which the acceleration occurs.
Q: What is the change in velocity (Δv)?
A: The change in velocity (Δv) is calculated as:
Δv = v_f - v_i = 220 fps - 88 fps = 132 fps
Q: How do I find the acceleration?
A: To find the acceleration, you can use the formula:
a = Δv / Δt = 132 fps / 3 seconds = 44 fps/s
Q: Why is the answer 44 fps/s?
A: The answer is 44 fps/s because we divided the change in velocity (132 fps) by the time (3 seconds) to get the acceleration.
Q: Can I simplify the answer?
A: Yes, you can simplify the answer by dividing both the numerator and denominator by their greatest common divisor, which is 4. However, this is not necessary in this case.
Q: What if I made a mistake in my calculation?
A: If you made a mistake in your calculation, you can re-examine your work and check for any errors. In this case, we realized that we made an error in simplifying the answer, but the correct answer is still 44 fps/s.
Q: What are the answer choices?
A: The answer choices are:
A) $\frac{1}{44}$ B) $29$
Q: Which answer choice is correct?
A: The correct answer choice is not among the options provided. The correct answer is 44 fps/s.
Q: What is the final answer?
A: The final answer is:
a = 44 fps/s
Additional Tips and Resources
- Make sure to check your units and ensure that they are consistent throughout your calculation.
- Use a calculator or a computer program to help with calculations, especially when dealing with large numbers.
- Review the formula for acceleration and make sure you understand how to use it.
- Practice, practice, practice! The more you practice, the more comfortable you will become with the formula and the calculations.
Conclusion
In conclusion, the car's acceleration from 88 fps to 220 fps in exactly 3 seconds is 44 fps/s. We hope this Q&A section has helped clarify any doubts and provided additional information. If you have any further questions, please don't hesitate to ask.