Question

A particle travels along the x-axis such that its position at time t is given by the function x(t) = 2t2 + t. What is the average speed of this particle over the interval 2 ≤ t ≤ 10?

4
25
32
200

Answer 1

25.

Explanation:

At time 2, x(t) = 2(2)^2 + 2 = 10

At time 10, x(t) = 2(10)^2 + 10 = 210.

Average speed for this interval

distance / time

= (210 - 10) / (10 - 2)

= 200/8

= 25.