Net change Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/net-change/quiz/

1. 1

   Water flows into a tank at r(t) = 4t + 5 litres per minute. How much flows in from t = 0 to t = 4?

   Answer: ____________________

2. 2

   Air flows into a balloon at r(t) = 2t + 10 litres per second. How much flows in from t = 2 to t = 6?

   Answer: ____________________

3. 3

   Oil flows into a tank at r(t) = 8 − 2t gallons per hour. How much flows in from t = 0 to t = 3?
   1. A) amount = −15 gallons
   2. B) amount = 15 gallons
   3. C) amount = −6 gallons

4. 4

   V(t) = 2t − 4 ms from t = 0 to t = 5. Find the displacement and the total distance.

   Answer: ____________________

5. 5

   V(t) = 6 − 2t ft/s from t = 1 to t = 5. Find the displacement and the total distance.

   Answer: ____________________

6. 6

   Sand flows into a pile at r(t) = 9 − t² cubic metres per hour. How much flows in from t = 0 to t = 3?

   Answer: ____________________

7. 7

   Water flows into a tank at r(t) = t³ + 1 litres per minute. How much flows in from t = 0 to t = 2?

   Answer: ____________________

8. 8

   V(t) = t² − 4t ms from t = 0 to t = 5. Find the displacement and the total distance.

   Answer: ____________________

9. 9

   V(t) = t² − 6t + 8 ms from t = 0 to t = 5. Find the displacement and the total distance.

   Answer: ____________________

10. 10

    V(t) = t² − 2t ms from t = 1 to t = 4. Find the displacement and the total distance.

    Answer: ____________________