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.

## Answer This Question

## Related Questions

- Calculus - Posted by Aletha on Sunday, March 18, 2007 at 6:51pm. After t hours ...
- Calculus - After t hours of an 8-hour trip the distance a car travels is modeled...
- Calculus - The velocity of a car (in miles per hour) is given by v(t) = 61.25t...
- Physics - A car travels in a straight line with an average velocity of 80 km/hr ...
- physical science - A car travels in a northward direction for a total distance ...
- Algebra - A bird leaves his nest and travels 20 miles per hour downward for x ...
- Math - A bird leaves his nest and travels 20 miles per hour downward for x hours...
- math - The distance an automobile can travel in h hours at an average rate of 50...
- math - The distance an automobile can travel in h hours at an average rate of 50...
- calculus - Suppose a scooter travels at a velocity of v(t)= 8t meters/hour. Then...

More Related Questions