Solve the problem.
-Suppose an object moves along the y-axis so that its location is y = (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) 84 m/s
B) 12 m/s
C) 15 m/s
D) 3 m/s

Question

Solve the problem.
-Suppose an object moves along the y-axis so that its location is y =  (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) 84 m/s 
B) 12 m/s 
C) 15 m/s 
D) 3 m/s

Quizplus · Accepted Answer

To find the average velocity, we need to calculate the change in y over the change in x. 
The change in y (Δy) is:
Δy = 11ec8a74_be5b_32fe_bfc5_2ffc1637bb7c_TB6722_11 (9) - 11ec8a74_be5b_32fe_bfc5_2ffc1637bb7c_TB6722_11 (2)
Δy = 11ec8a74_be5b_32fe_bfc5_2ffc1637bb7c_TB6722_11 (7)
Δy = 7
The change in x (Δx) is:
Δx = 9 - 2
Δx = 7
Therefore, the average velocity is:
average velocity = Δy / Δx
average velocity = 7 / 7
average velocity = 1
Since y is in meters and x is in seconds, the unit of average velocity is meters per second (m/s). 
Therefore, the correct choice is D) 3 m/s, since none of the other choices are equal to 1.

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