Bad Question - Average Acceleration

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SUMMARY

The discussion centers on a physics problem involving a car accelerating from 10 m/s to 50 m/s over a distance of 60 m, with a purported answer of 4.0 seconds. The calculations provided by participants indicate that the correct acceleration is 20 m/s², leading to a time of 2 seconds, contradicting the answer key. Participants unanimously agree that the answer key is incorrect, suggesting possible errors in the problem's formulation or in the answer key itself.

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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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Likes   Reactions: 1 person
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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Likes   Reactions: 1 person

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