Projectile Motion Notes

Apply vector analysis to resolve a vector into two perpendicular components.

How to: Use trig to calculate the magnitude of both components

Solve vector problems by resolving vectors into components, adding or subtracting the components and recombining them to determine the resultant vector.

Resolving Vectors into COmponents: Use trig to calculate the magnitude of both components.

Adding perpendicular Vectors: 1. Join the head of on to the base fo the other 2. Draw in what becomes the hypotenuse of the triangle 3. Use pythag to find the magnitude fo the vector 4. use tan(theta)=opp/adj to find the direction of the vector

Describe how the horizontal and vertical components of a velocity vector are independent of each other.

Horizontal-vertical Indpendence: The horizontal and vertical components of a velocity vector are independent because gravity only affects the vertical motion, so the horizontal motion continues unchanged while the vertical motion accelerates downward.

Solve problems involving projectile motion in the absence of drag effects using 𝑣𝑦 = 𝑢𝑦+ 𝑔𝑡, Sy = U𝑦𝑡+ (1/2)𝑔𝑡², V𝑦²= U𝑦² + 2𝑔S𝑦, V𝑥 = U𝑥 and S𝑥 = U𝑥𝑡.

Interpret data relating to the horizontal distance travelled by an object projected at various angles from the horizontal.