Homework Help: Calculus

Posted by Aletha on Sunday, March 18, 2007 at 8:40pm.

After t hours of an 8-hour trip the distance a car travels is modeled by:
D(t)= 10t + (5)/(1+t) - 5
where D(t) is measured in meters.

a) derive a formula for the velocity of the car.
b) how fast is the car moving at 6 hours?
c) derive a formula for the car's acceleration.

I'm sorry bobpursley-I just wanted to ask you about part b; I got .102 m. Is this wrong or right; because it sounds wrong. I plugged 6 into the first derivative of the original function and then found part c with the 2 derivative. Is this correct?
Thank You.

Of course it is wrong, your part a (the velocity) was wrong.

I hope you used the correct first derivative to get the second.

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