What is the shape of the graph for motion with constant, nonzero acceleration, the position-versus-time graph

Explanation:

According to velocity time graph , acceleration is nothing but slope of velocity(v)(v)-time(t)(t) graph and slope shows change in one variable with respect to other.

Now the condition you have given as a body is moving with constant acceleration; it means either body has zero acceleration or any constant value.

b

explanation:

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.