area under the velocity time curv represents which quantity with diagram

Question

velocity time graph

Answer 1

Time is usually the independent variable.

When plotting velocity (speed) vs. time, the accumulated area under the curve represents the distance travelled  (e.g,  ft/sec * sec = ft).

When plotting acceleration vs. time, the accumulated area under the curve represents the current velocity  (e.g.,  ft/sec^2 * sec  =  ft/sec).

 

Example:  If you draw a velocity time graph showing a car quickly going from 0 to 60 mph, driving at 60 mph for an hour, then quickly stopping, how far has the car gone in one hour (the time)?     60 miles (the distance)

Answer 2

If the velocity time curve is linear, then it is equivalent to a constant acceleration time diagram.