An object is moving with uniform acceleration a. Its initial velocity is u and after time t its velocity is v. The equation of its motion is v = h + a/. The velocity (along y-axis) time (along x-axis) graph shall be a straight line

The equation of motion for an object with uniform acceleration is given by v = u + at, where 'v' is the final velocity, 'u' is the initial velocity, 'a' is the acceleration, and 't' is the time. In a velocity-time graph, velocity (v) is plotted on the y-axis and time (t) is plotted on the x-axis. This linear equation follows the standard form y = mx + c, where 'm' represents the slope and 'c' represents the y-intercept. In this physical context, the slope of the straight line corresponds to the acceleration 'a', and the y-intercept (the value of v when t = 0) corresponds to the initial velocity 'u'. Therefore, the graph is a straight line with a y-intercept equal to u. If the initial velocity were zero, the line would pass through the origin.