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CHAPTER 3 ACCELERATION AND FREE FALL

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ACCELERATION

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When velocity and acceleration are in the same direction, the speed of the object increases with time. When velocity and acceleration are in opposite directions, the speed of the object decreases with time.

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ACCELERATION 4.0s v f =-10.0m/s v i =-2.0m/s

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ACCELERATION 4.0s v i =-10.0m/sv f =-2.0m/s

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DECELERATION VS. NEGATIVE ACCELERATION Deceleration – Reduction in speed Negative Acceleration – Acceleration vector is in the negative-x direction

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INSTANTANEOUS ACCELERATION

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MOTION DIAGRAMS

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ONE-DIMENSIONAL MOTION WITH CONSTANT ACCELERATION Many applications of mechanics involve objects moving with constant acceleration Constant Acceleration Instantaneous acceleration = average acceleration

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COMPARING MOTION GRAPHS

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VELOCITY AS A FUNCTION OF TIME

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REALITY CHECK

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DISPLACEMENT AS A FUNCTION OF TIME The area under the line on a velocity vs. time graph is equal to the displacement of the object.

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AN AUTOMOBILE MANUFACTURER CLAIMS THAT ITS SUPER- DELUXE SPORTS CAR WILL ACCELERATE UNIFORMLY FROM REST TO A SPEED OF 38.9M/S IN 8.00S.

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VELOCITY AS A FUNCTION OF DISPLACEMENT

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EQUATIONS FOR MOTION IN A STRAIGHT LINE UNDER CONSTANT ACCELERATION EquationInformation Given by Equation Velocity as a function of time Displacement as a function of time Velocity as a function of displacement

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IN COMING TO A STOP, A CAR LEAVES SKID MARKS 92.0M LONG ON THE HIGHWAY. ASSUMING A DECELERATION OF 7.00M/S 2, ESTIMATE THE SPEED OF THE CAR JUST BEFORE BRAKING.

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FREE FALL When air resistance is ignored, all objects in free fall near the Earth’s surface fall at the same constant acceleration. Galileo Dropped objects of different weights of Leaning Tower of Pisa Or did he? Inclined Planes Diluting Gravity

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FREE FALL

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A tennis player on serve tosses a ball straight up. While the ball is in free fall, does the acceleration A. Increase B. Decrease C. Increase then Decrease D. Decrease then Increase E. Remain Constant

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FREE FALL A tennis player on serve tosses a ball straight up. While the ball is in free fall, does the acceleration A. Increase B. Decrease C. Increase then Decrease D. Decrease then Increase E. Remain Constant

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FREE FALL As the tennis ball in the previous question travels through the air, its speed A. Increases B. Decreases C. Decreases then Increases D. Increases then Decreases E. Remains the Same

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FREE FALL As the tennis ball in the previous question travels through the air, its speed A. Increases B. Decreases C. Decreases then Increases D. Increases then Decreases E. Remains the Same

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A BASEBALL IS HIT NEARLY STRAIGHT UP INTO THE AIR WITH A SPEED OF 22M/S.

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