Slope of a velocity – time graph gives
(a) the distance
(b) the displacement
(c) the acceleration
(d) the speed
If we observe velocity time graph, we can calculate displacement as well as acceleration.
The area under the velocity time graph, gives the displacement and slope of velocity time graph gives the acceleration.
Qualitatively, the slope of line represents angle made by straight line from time axis.
Larger the angle implies larger the slope.
Hence the correct option is option C