A bicyclist makes a trip that consists of three parts, each in the same direction (due north) along a straight road. During the first part, she rides for 22 minutes at an average speed of 7.2 m/s. During the second part, she rides for 36 minutes at an average speed of 5.1 m/s. Finally, during the third part, she rides for 8.0 minutes at an average speed of 13 m/s. (a) How far has the bicyclist traveled during the entire trip? (b) What is her average velocity for the trip? (Ans: a)26.7km, b) 6.74m/s)

a

The total distance traveled is

b

The average velocity is  

Explanation:

From the question we are told that

     The time taken for first part

      The speed for the first part is  

        The time taken for second part is

        The speed for the second  part is  

         The time taken for third  part is    

          The speed for the third  part is  

Generally

Therefore the total distance traveled is  

substituting values

Generally the average velocity is mathematically represented as

Where is the total time taken which is mathematically represented as

The average velocity is