x(t) for constant acceleration v(t) for constant acceleration.

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Presentation transcript:

x(t) for constant acceleration

v(t) for constant acceleration

Average velocity therefore

4 equations to use for constant acceleration phenomena (only)

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Example A softball player is running at full speed toward second base with a speed of 12 m/s. She slides for 1.5 m into second base. Assuming constant acceleration, (1) how much time elapses as she is sliding; and (2) What is her acceleration?

Example Motorcycles have amazing acceleration. The Kawasaki Ninja ZX-14 can reportedly accelerate from 0 to 60 mph in 2.5 s. What is its acceleration and how far does it travel during this time interval?

Free-fall An “free” object rising or falling near Earth, with negligible air resistance, is a special case of motion with constant acceleration. +y (m)

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Example A diver steps off a 10-m platform. If she starts from rest (approximately) at t=0, how fast is she moving and what is the clock reading when she hits the water?

Example A tennis player is working on his serve. He wants to toss the tennis ball vertically exactly 1.5 m above where the ball leaves his hand. With what speed must the ball leave his hand?

Example A batter hits a pop-fly that travels straight upward and is ultimately caught by the catcher. (a) If the speed of the ball after colliding with the bat is 30 m/s, what maximum height (above the bat) will the ball travel? (b) What is the velocity of the ball when it is caught by the catcher?