Question

Find the average velocity for the position functions (t), in mm, over the interval 0 to 3 s.

a) 2 mm/sec
b) 5 mm/sec
c) 7 mm/sec
d) 9 mm/sec

Answer 1

The average velocity for the position functions (t), in mm, over the interval 0 to 3 s is 27 mm/s.

Step-by-step explanation:

The average velocity for the position functions (t), in mm, over the interval 0 to 3 s can be calculated by finding the change in position and dividing it by the change in time. In this case, the position function is given as (t) = 9.0t² î. To find the change in position, we can subtract the position at t=0 from the position at t=3. So, (3) - (0) = 9.0(3)² - 9.0(0)² = 81.0 mm. Similarly, the change in time is 3s - 0s = 3s. Therefore, the average velocity is 81.0 mm / 3s = 27 mm/s.