February 27, 2017

Homework Help: physics (mechanics)

Posted by John on Saturday, August 28, 2010 at 6:11pm.

Practice problem:

A rocket sled for testing equipment under large accelerations starts at rest and accelerates according to the expression:

a= (2.8 m/s^3)t + (3.9 m/s^2)

How far does the rocket move in the time interval t=0 to t=0.81 s?

This is just a practice problem to help me get an equation for my actual problem.

I know acceleration is the 2nd derivative and so I feel like I should integrate this equation (twice?) but my integration abilities are sorely lacking; especially as it regards to including units.

If I integrate how does that affect m/s^3 and m/s^2? Is it a definite integral from 0 to 0.81 s? While I feel I'm on something of the right track here I'm unsure.

Thanks in advance for the help!

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