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How far does it travel?

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3 Answers

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

Comments

Indeed, the "ave speed" can mentally solve many uniform accel probs: 9.5m/s runs 10s => 95m
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.