Starting at rest, a car has an acceleration given by: a=3t2-1. How far is the car...

Starting at rest, a car has an acceleration given by: a=3t²-1. How far is the car after 4 seconds? Consider starting position as zero. Be sure to include the units of measure. Use for gravity acceleration the value of 10. Do not use rounded numbers in the results.

I will like your answer if the work makes sense. If not, I will comment on it.

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Expert Solution

The given function is acceleration. So to find the distance covered you need to integrate that function twice. After first integration you will get velocity and after second integration you get the required distance.

Then put t=4 sec then you get you required distance covered.

I have done it below. Hope you will understand.

Note :- No unit is used in the question for the acceleration "a" but the gravitational acceleration is given in the value of 10 m/s². That is why I use the unit of "x" in "meter". And obviously time "t" is in sec(given).

genius_generous answered 2 years ago

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