SSC MTS EXAM

Detailed explanation-1: -Area under velocity-time graph gives the displacement of a moving object whereas slope of velocity-time graph gives the acceleration.

Detailed explanation-2: -Slope of the velocity-time graph gives the acceleration of the body whereas the area under the velocity-time graph gives the displacement of the body during that time interval.

Detailed explanation-3: -You can’t fully represent displacement by finding the area, since as a vector quantity, displacement also requires a direction. Finding the area only gives an amount, no direction. The area under the curve is the magnitude of the displacement, which is equal to the distance traveled (only for constant acceleration).

Detailed explanation-4: -A velocity-time graph has the velocity or speed of an object on the vertical axis and time on the horizontal axis. The distance travelled can be calculated by finding the area under a velocity-time graph. If the graph is curved, there are a number of ways of estimating the area (see trapezium rule below).