Kinematics Simulations

Kinematics is the study of how objects move. Lets answer this question together.

Kinematics in two dimensions. Click & drag to spawn.

Click on your mouse and drag before releasing to "slingshot" the ball across the screen. Realize how by doing so, you are initializing the component vectors of initial velocity which behave independently of each other (graphed below).

Vertical motion

Motion with constant acceleration has a correlation between position, time, velocity, and acceleration.

$$v_f = v_i +at$$ $$\Delta d = v_it + \frac{1}{2}at^2$$ $$\Delta d = \frac{v_i+v_f}{2}$$ $$v_f^2 = v_i^2+2a \Delta d$$

Horizontal motion

Motion with constant velocity (no acceleration) has a simple relationship between position, time, and velocity.

$$v=\frac{\Delta d}{t}$$