The following figure shows the graph of the velocity, v, of an object (in meters/sec). If the graph were shifted up 4 units, how would the distance traveled between t = 0 and t = 6 change?
A)It would increase by 4 meters.
B)It would decrease by 4 meters.
C)It would increase by 24 meters.
D)It would decrease by 24 meters.
E)It would remain the same.

Question

The following figure shows the graph of the velocity, v, of an object (in meters/sec). If the graph were shifted up 4 units, how would the distance traveled between t = 0 and t = 6 change? 
A)It would increase by 4 meters. 
B)It would decrease by 4 meters. 
C)It would increase by 24 meters. 
D)It would decrease by 24 meters. 
E)It would remain the same.

Quizplus · Accepted Answer

The distance traveled is the area under the curve of the velocity graph. Shifting the graph up 4 units would not affect the horizontal axis, but would increase the area under the curve between t = 0 and t = 6 by 4 units for every second, resulting in an increase of 24 meters (4 units x 6 seconds) in the distance traveled. Therefore, the correct answer is C.

The Following Figure Shows the Graph of the Velocity, V