Initial speed and time are very important in understanding how objects move when they are speeding up or slowing down.

1. Initial Speed ($u$): This is how fast something is moving at the start.

   For example, if a car begins moving at 10 meters per second (m/s), it will go farther than a car that starts from rest (0 m/s) in the same amount of time.

2. Time ($t$): How long something speeds up affects how far it goes.

   For example, an object that speeds up for 5 seconds will cover a different distance than one that speeds up for only 3 seconds.

We can put this information together using a simple formula:

$$s = ut + \frac{1}{2}at^2$$

In this formula, $s$ stands for distance, and $a$ means acceleration (how quickly the speed is changing).

By looking at these factors, we can better predict how things move!