math -- Calc

posted by .

1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 hours.

a) For 0<t<2 let c(t) be the distance the car has traveled in miles from time 0 to time t, where t is measured in hours. Find c(t).

b) Extend your function c(t) from part (a) to the time period 2< =t< =5. You will have a piecewise continuous function.

c) For the function c(t) in the previous problem, find c'(1) and c'(3).

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    distance = rate x time or d = r*t car traveling 40 mi/hr goes 40 mi/hr x 1.5 hrs head start or 60 miles head start. Let t = time bus and car travel. car travels distance of r*t = 40*t. Car already had 60 mi head start. Total distance …
  2. speed-distance-time

    Please help me with this problem. Two cars started from the same point and traveled on a straight course in opposite directions for exactly 2 hours, at which time they were 208 miles apart. If one car traveled, on average, 8 miles …
  3. calculus -- PLEASE HELP!

    1. A car travels 20 mi/hr for 2 hours and then 30 mi/hr for 3 hours. a) For 0<t<2 let c(t) be the distance the car has traveled in miles from time 0 to time t, where t is measured in hours. Find c(t). b) Extend your function …
  4. Intermediate Algebra

    A car travels 30 miles in the same time that a car traveling 5 miles per hours faster travels 45 miles. What is the rate of each car?
  5. Intermediate Algebra

    A car travels 30 miles in the same time that a car traveling 5 miles per hours faster travels 45 miles. What is the rate of each car?
  6. Algebra 1

    The table shows the number of miles driven over time. Time|Distance 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 …
  7. Algebra

    1.The table shows the number of miles driven over time. Time(hours):4 , 6 , 8 , 10 Distance(miles):204 , 306 , 408 , 510 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement …
  8. Algebra plz help

    1.The table shows the number of miles driven over time. Time(hours):4 , 6 , 8 , 10 Distance(miles):204 , 306 , 408 , 510 Express the relationship between distance and time in simplified form as a unit rate. Determine which statement …
  9. Math

    The table shows the number of miles driven over time. Time (hours)----------Distance (miles) 4---------------------232 6---------------------348 8---------------------464 10--------------------580 Express the relationship between distance …
  10. Math

    Hi I need a little help with a couple math questions I believe I have the answers, if someone can please just check them thank you. 1. The table shows the number of miles driven over time. Time 4|6|8|10 Miles 204|306|408|510 Express …

More Similar Questions