Question

Sketch the displacement-time, velocity-time, and acceleration-time graphs for:
(i) an object moving with constant positive velocity. (Let the initial displacement be zero.)
(ii) an object moving with constant positive acceleration. (Let the initial displacement and velocity be zero.)

Answer 1

(i)

1. Since the velocity is constant, the displacement-time graph will always be straight, the velocity-time graph will always be horizontal, and the acceleration-time graph will always lie on the horizontal axis.
2. When velocity is positive, the displacement-time graph should have a positive slope.
3. When velocity is negative, the displacement-time graph should have a negative slope.
4. When velocity is zero, the displacement-time graph should be horizontal.
5. 
6. In the above three graphs displacement, velocity and acceleration are on Y- axis respectively while the time on X-axis.

(ii)

1. Since the acceleration is constant, the displacement-time graph will always be a parabola, the velocity-time graph will always be straight, and the acceleration-time graph will always be horizontal.
2. When acceleration is positive, the velocity-time graph should have a positive slope and the displacement-time graph should bend upward.
3. When acceleration is negative, the velocity-time graph should have a negative slope and the displacement-time graph should bend downward.
4. When acceleration is zero, all three graphs should lie on the horizontal axis.
5.