1. Kinematics in Two Dimensions
Position, velocity, acceleration vectors
Constant acceleration in 2-D
Free fall in 2-D
Physics 1D03 - Lecture 8

2. The Equations: If is constant (magnitude and direction), then:
In 2-D free-fall type questions, we separate the motion into horizontal and vertical parts:
< Horizontal, a=0
< Vertical, a=-g
Physics 1D03 - Lecture 8

3. Projectile Motion
y=voyt-½gt2
x=voxt y vo x
Physics 1D03 - Lecture 8

4. Height, Range, Time Determine the maximum height of a projectile
Determine how far it goes (range)
Determine the total time in flight
Physics 1D03 - Lecture 8

5. Shooting the Gorilla
Tarzan has a new slingshot. George the gorilla hangs from a tree, and bets that Tarzan can’t hit him. Tarzan aims at George, and is sorry that he didn’t pay more attention in physics class. Where should he aim?
Physics 1D03 - Lecture 8

6. Example Problem
A stone is thrown upwards from the top of a 45.0 m high building with a 30º angle above the horizontal. If the initial velocity of the stone is 20.0 m/s, how long is the stone in the air, and how far from the base of the building does it land ?
Physics 1D03 - Lecture 8

7. Example Problem
A stone is thrown downwards from the top of a 45.0 m cliff with a 30º angle below the horizontal. If the initial velocity of the stone is 20.0 m/s, how long is the stone in the air, and how far from the base of the building does it land ?
Physics 1D03 - Lecture 8