Motion in a Plane

 

I.                    2-Dimensional Motion and Trajectories

 

 

What kinds of objects have 2 dimensional motion?

 

*           Objects moving along earth's surface

            *           Planets around sun

            *           Pendulums

 

 

Projectiles

 

 

 


                                                                       

Planets around Sun

 
 

 

 

 


                              Pendulums

 

 

 


           

 

 

 

 

 

            A)        Objects moving along earth’s surface (projectiles)

 

                        1.         Projectile fired horizontally

 

 

 

 


                       

What you need to know before solving this type of problem:

 

 

 

 

 

 

 

B) Projectile fired horizontally - Solving Word Problems

 

Use all the same motion equations you used before

 

Ex)       A baseball is thrown horizontally from a grandstand 20 m above ground at speed of 10m/s.

 

(a)      How long will the ball remain in flight before reaching ground?

 

 

 

 

 

 


Use the 3 Step Method

 

 

 

 

 

 

 

 

 

2.                  (b)      What is the projectile's maximum range before it hits ground?


3.                  Projectile fired at an angle

 

 

 

 

 

 

 

 

Projectiles move in a parabolic path

 

*** To understand this type of motion we must breakup the motion into horizontal and vertical parts (components)

 

 

- Finding the horizontal and vertical components parts

                                   

¨      V -

¨      Vi x

¨      Viy =

 

 

 

 

 

 

 

 

 

 

 

 

 


Use _______________________ to find ____________________________

 

 

 

 

 

Initial horizontal Component of Velocity - Vi x = V cos q        (on reference table)