physics quiz problem
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Physics Quiz problem #3
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How far will an object, initially at rest, in free fall have traveled by the time it’s instantaneous velocity reaches 20 m/s?
* Ignore air resistance**Use gravity = 10 m/s2
The problem….
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Step 1: Draw a picture
object
object
Vinitial is at rest, or Vinitial = 0 m/s
Vfinal = 20 m/s
Gravity accelerates object at 10m/s2
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Step 2: Write down what you know
Vinitial = 0 m/s
Vfinal = 20 m/s Acceleration, or a = 10 m/s2
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Step 3: Identify relationships we know
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The problem asked us for distance so we know we’ll need to use
Unfortunately we don’t know either distance traveled or the time.
But!!
We were looking for….
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We can find the time by using the relationship
But lets make it more user friendly
Don’t forget the other guys
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We know acceleration and the change in velocity so…
Step 4: Fill in the numbers
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Now that we know the time it takes is 2 seconds…
Step 4 continued…
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Hopefully you noticed that the units worked out for when we solved for time and for distance….
So on to the next step~
The little things ~
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Does the answer you found make sense?
This is where you consult your everyday experiences and make sure your answer can actually happen.
Step 5: Reality Check!
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We solved the problem! Physics models everyday occurrences so your answer should make sense.
Congratulations!
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The same object is in free fall once again. Ignoring air resistance, how far has an object at rest traveled from when it reaches a final instantaneous velocity of 30 m/s?
Check your work, the answer is 45 meters
Try this at home