Projectile Motion Properties

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Presentation transcript:

Projectile Motion Properties Motion subject only to the force of gravity Properties Horizontal motion is independent of the vertical motion. x vs. t is linear, y vs. t is quadratic (parabolic) y vs. x is always parabolic

Projectile motion is always some part of a parabola Projectile motion displays symmetry between left and right sides

The angle between the initial velocity vector and the positive x-axis “Launch angle” The angle between the initial velocity vector and the positive x-axis General launch angle Zero launch angle

General Equations of Motion

General Equations of Motion Zero Launch Angle Equations of Motion (origin at the launch point)

Zero Launch Angle Example 2: A person skateboarding with constant speed 1.30 m/s releases a ball from a height of 1.25 m above the ground. Find… x and y for t = 0.250 s.

Zero Launch Angle Example 2: A person skateboarding with constant speed 1.30 m/s releases a ball from a height of 1.25 m above the ground. Find… x and y for t = 0.250 s. x and y for t = 0.500 s.

Zero Launch Angle Example 2: A person skateboarding with constant speed 1.30 m/s releases a ball from a height of 1.25 m above the ground. Find… x and y for t = 0.250 s. x and y for t = 0.500 s. the velocity, speed, and direction of motion of the ball at t = 0.500 s.

Example: A mountain climber encounters a crevasse in an ice field Example: A mountain climber encounters a crevasse in an ice field. The opposite side of the crevasse is 2.74 m lower, and is separated horizontally by a distance of 4.10 m. To cross the crevasse, the climber gets a running start and jumps in the horizontal direction. (a) What is the minimum speed needed by the climber to safely cross the crevasse?

Example: A mountain climber encounters a crevasse in an ice field Example: A mountain climber encounters a crevasse in an ice field. The opposite side of the crevasse is 2.74 m lower, and is separated horizontally by a distance of 4.10 m. To cross the crevasse, the climber gets a running start and jumps in the horizontal direction. (a) What is the minimum speed needed by the climber to safely cross the crevasse? (b) If, instead, the climber’s speed is 6.00 m/s, where does the climber land?