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2 Dimensional (Projectile) Motion
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Man Shot out of Cannon
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Projectile Motion Essential Questions:
What impacts have analyzing projectiles had on society? What affects the path of a projectile?
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Projectile Motion A projectile is an object with horizontal motion upon which the only force acting is gravity. Give examples of projectiles. How has the study of projectiles been important?
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All projectiles take a parabolic path.
Why do you think it is called this? The shape of its path looks like a parabola.
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Projectile motion is made up of two parts (or components):
A horizontal (x) component and a vertical (y) component.
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The path a projectile takes is called its trajectory.
The horizontal distance a projectile travels is called its range.
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Horizontally Launched Projectiles
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The x and y components act independently of each other.
A bullet is fired horizontally and another is dropped at the same time from the same height. Which bullet hits the ground first? Neither. They hit at the same time.
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The initial speed in the x direction is the initial speed of the object.
The initial speed in the y direction is zero. The horizontal speed of a projectile is constant. The vertical motion of a projectile follows the same rules as free fall.
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Horizontal (x) Vertical (y) d = d = v = a = t = t =
d = vt d = ½ a t2 Where did vi t go? d = vi t + ½ a t2 vi is zero, it cancels out
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A football is thrown horizontally with
a speed of 20 m/s. It hits the ground 0.3 seconds later. What is the range of the ball? 6.0m From what height was the ball thrown? 0.44m
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A projectile is launched horizontally from
a height of 3.0 m. The range of the projectile is 6.0 m. How long did it take to land? 0.78 s What was the initial speed of the projectile? 7.7 m/s
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