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Negative acceleration is when an object accelerates in the negative direction. If we define the positive direction as the direction of the velocity (to the right), then the train exemplifies negative acceleration because it is slowing down, which means it is accelerating in the opposite direction of its velocity.

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The Superman is an example of positive acceleration because if the positive direction is set as downward, and the Superman is accelerating downward, then the Superman is accelerating in the positive direction.

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J=F∆t=m∆v=∆p
The basketballs bouncing are an example of impulse because impulse is a change in momentum. When the ball impacts the ground and changes it's velocity (v) through the change in direction, as shown with the equation J=F∆t=m∆v=∆p, there will be a change in momentum (∆p) and there will be impulse (J) present.

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W=Flld=∆E
As seen in the video, the cars are exerting a force (specifically the force of friction) in order for the car to slow down. The friction is converting the car's kinetic energy into thermal energy and thus, the car is losing energy. Since there is a change in the amount of energy the car has (∆E), the car did work.

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As you can see, the tea cup that is spinning continues to spin, while the tea cup that is stationary continues to remain stationary. The video shows that the objects are resisting any changes to their motion, which is the definition of Inertia.

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K=½mv²
As you can see in the video, the roller coaster moves through the track with a very high velocity, and has a very large mass. Both of these factors are determinants of high Kinetic Energy. As the formula for the Kinetic Energy is K=½mv², if both the mass of the roller coaster (m), and the velocity of the roller coaster are high (v), then the Kinetic Energy of the roller coaster is very high too.

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As shown in the video, the Force of Gravity acts as a restoring force to bring the Riddler's Revenge, which is basically a pendulum, to it's equilibrium position. Second the Horizontal Position versus Time graph for the ride would be sinusoidal. Both of these are requirements for Harmonic Motion. Since the Riddler's Revenge meets those requirements, it is undergoing Simple Harmonic Motion.

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Ug=mgh
As shown in the image below, the roller coaster is very high off the ground, and has a very large mass. Both of those factors are determinants of potential energy, as the formula for potential energy is Ug=mgh. Since both m (mass of the coaster) and h (height of the coaster off the ground) are very high, the potential energy of the roller coaster is also very high.

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As seen in the video, that carts are not following inertial desires and flying off tangentially to their rotational path around the center, which means that there is an unbalanced force on those carts. Since the carts are rotating around the pole, this means that there is a centripetal force exerted by the chains towards the center. And, where there is a force, there is an acceleration, and since the force is centripetal force, the acceleration is centripetal acceleration.

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As shown in the video, the fluid is only being directed only by gravity, with a negligible amount of air resistance pushing back up. This is the definition of Free Fall.