Question

Draw the speed time graph for a body which is in uniform motion

Answer 1

Since acceleration is rate of change of velocity over time,a body moving with uniform velocity will have 0 acceleration.

a=dv/dt

For uniform velocity dv=0

Hence a=0






what ever the function may be, you have stated that acceleration is uniform, it means dV/dt =k, integrate, then you get V=kt+c, but V= dS/dt, therefore on integrating S=k*t^2+ct, C is a constant depends on boundary condition

Answer 2

first of all speed/velocity time graph under a uniform motion is a slope which when a straight line parallel to the time axis denotes uniform or constant velocity ,Or if it is a straight line from the point of reference with an acute angle means positive/uniform acceleration Or when it is a straight line from the highest point with an obtuse angle , it denotes uniform retardation/positive retardation/deacceleration.
see the following pic to get the summary digramatically.
** hope this answer helps**