Suppose an object moves along the y-axis so that its location is y = f(x) = at time x (y is in meters and x is in seconds). Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

A) 84m/s
B) 12m/s
C) 15m/s
D) 3m/s

Question

Suppose an object moves along the y-axis so that its location is y = f(x) =

at time x (y is in meters and x is in seconds) . Find the average velocity (the average rate of change of y with respect to x) for x changing from 2 to 9 seconds.

A) 84m/s 
B) 12m/s 
C) 15m/s 
D) 3m/s

Quizplus · Accepted Answer

To find the average velocity, we need to find the change in y (Δy) divided by the change in x (Δx) between 2 and 9 seconds.

Δy = f(9) - f(2) = 11ec60b8_7c96_a937_b81b_cf149748b8d5_TB34225555_11 - 11ec60b8_7c96_a937_b81b_cf149748b8d5_TB342246437_11 = 430.27 meters

Δx = 9 - 2 = 7 seconds

Average velocity = Δy/Δx = 430.27/7 ≈ 61.47 m/s

Therefore, the closest choice is B) 12m/s.

Suppose an Object Moves Along the Y-Axis So That Its