Bad Question - Average Acceleration

AI Thread Summary
A car accelerates from 10 m/s to 50 m/s over 60 m, and the calculated time for this acceleration is 2 seconds based on the equations of motion. The purported answer of 4 seconds appears incorrect, leading to speculation that the answer key may have errors or inconsistencies. Participants in the discussion agree that the key could be wrong due to possible changes in the question or mistakes in the solution process. The calculations show that the acceleration is 20 m/s², supporting the conclusion of 2 seconds for the time taken. Overall, the consensus is that the answer key should be re-evaluated for accuracy.
Qube
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Homework Statement



A car starts from rest. With constant acceleration, the car increases its speed from 10m/s to 50m/s over a distance of 60m. How long does this take?

Purported answer: 4.0s

Homework Equations



Constant acceleration, so the following equations apply:

Vf^2 = Vi^2 + 2ad
Vf = Vi + at

The Attempt at a Solution



Vf^2 = Vi^2 + 2ad

2500 = 100 + 2a(60)
2400 = 120a
240/12 = a
a = 20 m/s^2.

Vf = Vi + at

50 = 10 + 20(t)
40/20 = 2s.

Why does the key say 4s?

I'm guessing it's because the key is wrong!
 
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Qube said:

Homework Statement



A car starts from rest. With constant acceleration, the car increases its speed from 10m/s to 50m/s over a distance of 60m. How long does this take?

Purported answer: 4.0s

Homework Equations



Constant acceleration, so the following equations apply:

Vf^2 = Vi^2 + 2ad
Vf = Vi + at

The Attempt at a Solution



Vf^2 = Vi^2 + 2ad

2500 = 100 + 2a(60)
2400 = 120a
240/12 = a
a = 20 m/s^2.

Vf = Vi + at

50 = 10 + 20(t)
40/20 = 2s.

Why does the key say 4s?

I'm guessing it's because the key is wrong!

Yes, I think the key is wrong.
 
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I concur with Dick. The key is wrong. Why? They might have changed the question from some previous edition and not changed the key. Or they might have solved a problem other than the one printed. Or they might have just made a mistake. It happens.
 
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