Projectile Motion

When a projectile is thrown, it experiences:

• Uniform horizontal motion
• Vertical motion with acceleration

Terminology

Range: total $△x$ displacement

Projectile Motion Solving Process

1. Split the vector into 2 parts
2. Find the time it takes for Y to hit the ground
3. The time for X uses the same time

Time Of Flight

$t=\frac{2v\sin \theta }{g}$ $t=\frac{v\sin \theta }{4.9}$ Projectile Motion Time Of Flight Proof

Unknown Angle(s)

$Rang{e}_{assuminglevelground\&leveltarget}=v_i\cos (\theta )\ast \frac{v_i\sin (\theta )}{4.9}$ U can do most of this yourself, but the important part is the final part where you state the angle. Remember this: You will always have 2 answers

Key Concepts

• The final y-velocity will be the same as the initial y-velocity