Question

Draw the displacement-time (x-t) graph of a uniformly accelerated particle which starts from rest​

Answer 1

While drawing the graph between any two quantities, the first step will be to establish a relation between them, in terms of known constants. Thus, for a uniformly accelerated motion,

the relation between(s) and (t) is s=ut+12at2

But since u=0,

∴s=12at2

s is taken along y-axis, replace s by y and, t being along x-axis, replace t by x.

Therefore, y=ax22 or x2=2ya which is of the form x2=4ay.

Therefore, the graph will be parabola with its axis as y i.e., (s) axis.

Notice that the portion of graph to the left of the displacement axis (i.e. towards negative time) is omitted, as our point of interest lies in only the time elapsed after the beginning of motion.