Calculus
posted by Aletha .
After t hours of an 8hour 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 bobpursleyI 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.
Respond to this Question
Similar Questions

Calculus
After t hours of an 8hour 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? 
Calculus
Posted by Aletha on Sunday, March 18, 2007 at 6:51pm. After t hours of an 8hour 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 … 
math
The distance an automobile can travel in h hours at an average rate of 50 miles an hour is found y the formula d=50h. Problem: A car was driven for 3 hours. The driver then stopped 3/4 of an hour for lunch. After lunch he drove for … 
math
The distance an automobile can travel in h hours at an average rate of 50 miles an hour is found y the formula d=50h. Problem: A car was driven for 3 hours. The driver then stopped 3/4 of an hour for lunch. After lunch he drove for … 
Calculus
The velocity of a car (in miles per hour) is given by v(t) = 61.25t − 17.5 t^2 where t is in hours. Write a definite integral for the distance the car travels during the first 2.5 hours. Use your graphing calculator to find this … 
Physics
A car travels 150 km for two hours east of a starting point, turns around and travels due west 300 km for three hours. What is the car's net velocity for the trip? 
Physics
A car travels in a straight line with an average velocity of 80 km/hr for 2.5 hours and then with an average velocity of 40 km/hr for 1.5 hours. a. Calculate the largest displacement for the 4hour trip. b. Calculate the largest average … 
physical science
A car travels in a northward direction for a total distance of 512 km. The car completes this trip in 6 hrs. After resting the driver makes the return trip, the return trip only takes 5.5 hours. What is the average speed of the car … 
Algebra 1
The table shows the number of miles driven over time. TimeDistance 4 184 6 276 8 368 10 460 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement correctly interprets this … 
Math
The table shows the number of miles driven over time. Time (hours)Distance (miles) 4232 6348 8464 10580 Express the relationship between distance …