Physics Lect 1
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Special Triangles
 345
 51213
 306090
 454590

Displacement vs. Time Graph
 slope = instantaneous velocity
 upward = positive velocity
 downward = negative velocity (does not nec. mean slowing down)
 straight line = constant velocity
 curved line = acceleration

Velocity vs. Time Graph
 slope = instantaneous acceleration
 upward = positive acceleration
 straight line = constant acceleration
 curved line = changing acceleration
 area under curve = distance / displacement

Projectile Motion: a _{vertical }vs a _{horizontal}
 Accel Vertical = constant = g = 10m/s^{2}
 Accel Hori = constant = 0m/s^{2}

Projectile Motion: what dictates the time and the range of the flight path?
 Vertical Velocity dictates the time of flight
 Horizontal Velocity * Time dictates the range

What angle maximizes range?
45 degrees

Mass and Air Resistance
 Mass changes the effect of air resistance but not the air resistance its self
 air resistance has less effect on a more massive object
 think bowling ball to feather

Initial Vertical Velocity for Projectiles
vsinθ = V_{initial vertical}

Initial Horizontal Velocity
 vcosθ = V_{initial horizontal}
 Remember: there is no horizontal acceleration so the horizontal velocity remains constant through the flight path_{ }

What increases air resistance?
 more surface area
 higher velocities

Projectile Motion Equations
 x  x_{i} = v_{i}t + 0.5at^{2}
 v = v_{i} + at
 v^{2} = v_{i}^{2} + 2ax
 v = sqrt (2gh) *v_{i} must be "0"

What acts to shorten the the projectile path?
Both gravity and the earth's atmosphere