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Published byDinah Carpenter Modified over 4 years ago

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Projectile Motion Also known as two dimensional motion or trajectory problems

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Projectile Motion Projectile motion occurs when objects are launched at an angle so they are moving in both the horizontal and vertical directions

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Projectile Motion Key Idea: Because gravity only acts vertically, the way to solve these problems is to separate the problem into a vertical part and a horizontal part and solve them separately.

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Projectile Motion Typically the place to start is to resolve the velocity vector (which is at an angle) into a vertical velocity and horizontal velocity.

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Projectile Motion Solve the problem by keeping the vertical and horizontal components in separate tables VerticalHorizontal The variable which is common to both is time.

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Projectile Motion Example: launch a cat at 50m/s at an angle of 30 degrees w/the horizontal Find the maximum height, horizontal distance, and time in the air V(horizontal) = 50 x cos(30) = 43.3 m/s V(vertical) = 50 x sin(30) = 25 m/s

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Projectile Motion Vertical V(vertical) = 25m/s Time (to peak) = 2.5 seconds so total time up and down is 5.0 seconds Distance (up) = ½ a t 2 = 31.2m

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Projectile Motion Horizontal We found the total time in the air = 5 seconds (from the vertical part) The distance travelled horizontally is the horizontal velocity x time = 43.3m/s x 5s = 220m

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Projectile Motion Nice visual

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Projectile Motion Nicer visual

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