The area under velocity-time graph gives the displacement whereas the slope of velocity time graph at any point gives the acceleration at that point. Slope is +ve if the line makes an acute angle in the anticlockwise direction with respect fo the positive time direction along which the independent variable increases. From the calculus, we also know that slope of the tangent to y vs. xgraph Is given by (dy)/(dx)., if (dy)/(dx) is +ve then y increases with x, otherwise it decreases. Consider two persons namely Ram, and Rahim, who have gone to picnic at a nice place. Finding a beautiful place they rush towards it simultaneously. Let us take the time when they start simultaneously at t = 0 and at this instant the position of Ram and Rahimbe x = 0 and x = +48, respectively, Ram maintains a uniform velocity of +10 m/s throughout the journey whereas Rahim starts from rest and continuously accelerates with `+1m/s^2`
The position time graph for the motions of Ram and Rahim is given by

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