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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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