math  Calc
posted by Veronica .
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
Similar Questions

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 … 
speeddistancetime
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 … 
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 … 
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? 
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? 
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 … 
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 … 
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 … 
Math
The table shows the number of miles driven over time. Time (hours)Distance (miles) 4232 6348 8464 10580 Express the relationship between distance … 
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 46810 Miles 204306408510 Express …