Question

How is the distance/displacement covered by the body calculated from a graph

Answer 1

$\huge {\boxed {\mathtt {\underline \color{gold}{ ANSWER :- }}}}$

The net area(considering both positive and negative areas) between the line and the time axis of the velocity-time graph is equal to the magnitude of displacement of the object. When all areas are taken as positive then the total area under the velocity-time graph gives the distance covered by the body in a 1-d motion.

Distance at time T = Integral{ (x(t)(dt) } |t = 0 to t = T|, x(t) is the graph of displacement x as a function of time t. Since the displacement has direction, the total distance traveled in time T would be the distance traveled in one direction - the distance traveled in the opposite direction.

_____________________________

$<marquee \: behavior = alternate><font \: color=gold>- Itzgod❗$