Friday

March 27, 2015

March 27, 2015

Posted by **Aletha** on Sunday, March 18, 2007 at 6:51pm.

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.

My answers:

a)(5)/(1-t)^2

b).6 meters (I KNOW this is wrong!)

c) (10t)/t(1-t)

I just know my answers are wrong if someone could just tell me where I went wrong?

Your derivative, (the velocity), should have been 10 -5(1+t)^2

now substitute t=6 into that.

your acceleration, the second derivative, should be

10/(1+t)^3

oops, forgot the divistion sign

first derivative is 10-5/(1+t)^2

for the velocity derivative; I get 5/49 which is .102 meters? That still doesn't sound right.

For the acceleration are you taking the 2nd derivative... because if so; why still have the 10?

**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 ...

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...

Physics - A car travels 150 km for two hours east of a starting point, turns ...

math - substitute to find the value of the expression. A train must cover a ...