1. Find x'(t) and y'(t). 2. Evaluate x'(t) and y'(t) at the given time. 3. Determine if x'(t) and y'(t) are positive or negative to determine the direction.

1. Find dy/dt and dx/dt. 2. Calculate (dy/dt) / (dx/dt). 3. Evaluate the expression at the given point (t-value).

1. Calculate (x(t2) - x(t1)) / (t2 - t1) for x(t). 2. Calculate (y(t2) - y(t1)) / (t2 - t1) for y(t).

$$\frac{f(t_2) - f(t_1)}{t_2 - t_1}$$

$$\frac{dy/dt}{dx/dt}$$

$$\frac{\Delta y}{\Delta x} = \frac{y(t_2) - y(t_1)}{x(t_2) - x(t_1)}$$

If x(t) is increasing, the object moves right. If x(t) is decreasing, the object moves left.

If y(t) is increasing, the object moves upward. If y(t) is decreasing, the object moves downward.

The parameter 't' can be scaled or shifted, changing the velocity and acceleration, but not the path itself.

Velocity is the rate of change of position, and acceleration is the rate of change of velocity. They describe the motion of an object.