an object is traveling in a straight line so that its positi

an object is traveling in a straight line so that its position is given by this table

a. find the average speed of the object during the following time intervals: [0,1], [0,2], [0,3], [1,2],[1,3], [2,3]
b. if you had to guess the speed at t=2 just on the basis of these, what would you guess?

please show all steps and work

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Solution

Average Speed = Distance Covered / Time taken

(a) [0,1] => 10/1 = 10 m/s

[0,2] => 20/2 = 10 m/s

[0,3] => 60/3 = 20 m/s

[1,2] => 10/1 = 10 m/s

[1,3] => (60-10)/(3-1) = 25 m/s

[2,3] => (60-20)/(3-2) = 40 m/s

(b) Taking the average of the average speeds of [0,2] and [2,3]

=> (10+40)/2 = 25 m/s