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How far does it travel?

A car accelerates uniformly from rest to a final speed of 19 m/s in 10 seconds. How far does it travel during this period of acceleration?

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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Here is a quick way: Use average velocity for constant acceleration process.
d = (1/2)(Vo+V)t = (1/2)(0+19)(10) = 95 m

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Indeed, the "ave speed" can mentally solve many uniform accel probs: 9.5m/s runs 10s => 95m
Andre W. | Friendly tutor for ALL math and physics coursesFriendly tutor for ALL math and physics ...
5.0 5.0 (3 lesson ratings) (3)
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Use the kinematic equation
 
Δx = ½(vf+vi)t with vi=0.
Kirill Z. | Physics, math tutor with great knowledge and teaching skillsPhysics, math tutor with great knowledge...
4.9 4.9 (174 lesson ratings) (174)
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1) Find acceleration.
 
a=(vf-vi)/t=(19-0) (m/s)/10 s=1.9 m/s2.
 
2) Use the formula for the distance traveled:
 
d=vit+at2/2. In your case vi=0, so 
d=at2/2;
 
Plug in numbers to get the answer.