A car accelerated from 1.5 mph to some final velocity over 3.4 s. Then, going at this final velocity

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A car accelerated from 1.5 mph to some final velocity over 3.4 s. Then, going at this final velocity, the car traveled 3.8 miles over the course of the next 7.4 minutes. 

What was acceleration of the car over the first 3.4 s?

Oct 12th, 2015

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v=u+at

s=ut+0.5at^2

v^2=u^2+2as

using first equation, v=1.5+3.4a,this v will be the initial velocity, u for the next 7.4 minutes so we use the second equation

s=ut+0.5at^2

3.8=(1.5+3.4a)0.123+(0.5*a*0.123^2)

3.8=0.1845+0.4182a+0.00756a

0.4258a=3.6155

a= 8.49 mps^2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 12th, 2015

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