Initial Projectile Velocities

Converting Velocities into its X and Y Components

projectile diaghram

Whenever a vector is given at angles other than 0o, 90o, 180o, 270o, or 360o, the vector just be broken into its X and Y components.

For the example above, the velocity of the projectile is 45 m/s at 30o to the horizon.
By using trig functions, we get the following setup:

Trignometric function set up of Projectile

Vx

cos 30o = Vx/45

Vx = 45cos(30o)

Vx = 38.9 m/s


Vy

sin 30o = Vy/45

Vy = 45 sin(30o)

Vy = 22.5 m/s

Whenever a question gives vectors at an angle, remember to convert the initial vector into its X and Y components by using trigonometric functions.

Physics

What’s the difference between scalar unit and vector unit?

A scalar unit includes magnitude such as meter, liter, m/s.
The car’s speed is 10 m/s.

A vector unit includes magnitude and direction.
10 m/s[S], +10 m/s
The boy walked 5m South then 10m West.