Physics Lect 1
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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/s2
- Accel Hori = constant = 0m/s2
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?
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 = Vinitial vertical
Initial Horizontal Velocity
- vcosθ = Vinitial 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 - xi = vit + 0.5at2
- v = vi + at
- v2 = vi2 + 2ax
- v = sqrt (2gh) *vi must be "0"
What acts to shorten the the projectile path?
Both gravity and the earth's atmosphere
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