Warmup If dropped from the same height (discounting air resistance), which will hit the ground first: a bowling ball or a feather? Explain your answer.

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Presentation transcript:

Warmup If dropped from the same height (discounting air resistance), which will hit the ground first: a bowling ball or a feather? Explain your answer.

<iframe width="640" height="360" src="http://video. mit <iframe width="640" height="360" src="http://video.mit.edu/embed/6407/" frameborder="0"></iframe> Feather and Coin

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Δx = horizontal distance Δy= vertical distance a = -9.81 m/s2 Falling Objects Δx = horizontal distance Δy= vertical distance a = -9.81 m/s2

Gravity Gravity on Earth accelerates everything at -9.81 m/s2 toward the center of the Earth. Assume no air resistance.

Displacement The ball’s speed is the same at any point going up or down because its acceleration is constant. So...when you toss a ball up, the distance between your hand to the top and down to the original point cancels out.

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Group Practice (Use your formula sheet) A robot probe drops a camera off the rim of a 239 m high cliff on Mars, where the free-fall acceleration is -3.7 m/s2. Find the velocity with which the camera hits the ground. Find the time required for it to hit the ground.

Group Practice (Use your formula sheet) A tennis ball is thrown vertically upward with an initial velocity of +8.0 m/s. What will the ball’s speed be when it returns to the starting point? How long will the ball take to reach its starting point?

Extra Information Skydiving: If the Earth had no atmosphere, skydivers would accelerate with free-fall acceleration and splat on the ground. Because of air resistance on the parachutes, acceleration decreases as they fall, until it drops to zero. The speed then becomes constant. This is called terminal velocity.

Independent Practice

Objectives To describe and analyze motion in one dimension including speed and velocity as they relate to free fall.

Reflection If a coin is tossed upward, what happens to its velocity in the air? Does the acceleration increase, decrease, or remain constant while it is in the air?