In Grade 10 Physics, it's really important to understand equations of motion. These are useful for figuring out how things like thrown balls or launched rockets move through the air.

When we throw or launch something, it moves in a path that looks like a curve called a parabola. This curved path happens because of gravity pulling the object down.

Here are three key equations that help us with this:

1. Key Equations:
   • Final Velocity: (v = u + at)
   • Distance Traveled: (s = ut + \frac{1}{2}at^2)
   • Relationship Between Speeds: (v^2 = u^2 + 2as)

In these equations:

• (u) is the starting speed (initial velocity).
• (v) is the speed at the end (final velocity).
• (a) is how quickly the object speeds up (this is gravity here).
• (t) is the time the object has been moving.
• (s) is how far the object has traveled.

2. Predicting Trajectories: These equations can help you figure out:

• How high the projectile will go.
• How far it will travel before it hits the ground.
• How long it will stay in the air.

3. Example: If you kick a soccer ball at a 45-degree angle, knowing how fast you kicked it helps us use these equations to find out its highest point and how far it goes.

So, in short, these equations are like a toolkit for understanding how projectiles move!