The figure below shows a graph of angular velocity as a function of time for a car driving around a circular track.Through how many radians does the car travel in the first 10 minutes?
A)30
B)50
C)70
D)90
E)100

Question

The figure below shows a graph of angular velocity as a function of time for a car driving around a circular track.Through how many radians does the car travel in the first 10 minutes? 
A)30 
B)50 
C)70 
D)90 
E)100

Quizplus · Accepted Answer

The total angle traveled by the car in 10 minutes can be found by integrating the angular velocity with respect to time from 0 to 10 minutes. The area under the curve of the graph represents this total angle. Using the trapezoidal rule, the area can be approximated as the sum of the areas of trapezoids formed by the graph and the time axis. The total angle is approximately equal to 70 radians. Therefore, the best choice is C).

The Figure Below Shows a Graph of Angular Velocity as a Function