Learn the difference between distance, displacement, speed and velocity, and how to calculate distance, speed and acceleration.

The area under a velocity-time graph gives the displacement. The velocity-time and acceleration-time graphs for common motions are shown below.

Shini introduces us to integrals, and how they're critical to studying physics.

Of course, the velocity graph should be continuous - that would make the middle velocity constant (zero slope) and non-zero (so that it matches up with the previous interval).

Derivation Of First Equation The first equation can be derived using a velocity-time graph for a moving object with an initial velocity of u, final velocity of v and acceleration of a.

At t 2, the angular velocity is zero, with a non-zero (positive) angular acceleration. At that time, the direction of rotation for BC is changing from CW to CCW. In summary, you should never assume ...

But if you calculate the acceleration without the graph, you are explicitly stating that the y-intercept is zero---which it might not be. So there are some actual reasons for making a graph.

Shini Somara introduces us to the ideas of motion in a straight line.

Wide binary stars with separation greater than about 2000 astronomical units are interesting natural laboratories that allow a direct probe of gravity at low acceleration weaker than about 1 ...