Projectile Motion
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answer questions requiring understanding the displacement, velocity and acceleration of a projectile over the course of its motion
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given the initial speed and launch angle of a projectile, determine its initial horizontal and vertical components of velocity
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from a projectile's initial velocity components and launch height determine the following: time of flight, horizontal range, maximum height, and velocity on impact
Remember to give the magnitude and direction of the velocity on impact
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answer questions requiring understanding of component concepts and that the effect of gravity only applies to the vertical component
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answer questions requiring understanding of the effect of initial height and initial velocity components on the time of flight and range of a projectile
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solve problems involving projectiles launched horizontally (including being dropped from a moving object), launched at an angle below or above the horizontal, launched from the ground or from a height
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draw possible paths for a projectile comparing its motion with and without the effect of friction
Uniform Circular Motion
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answer questions requiring understanding of velocity, centripetal force and centripetal acceleration
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answer questions requiring understanding friction, tension, electrostatic force, gravity and the horizontal component of the normal force as providers of the force for centripetal acceleration
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solve problems using the equation for the centripetal acceleration a of an object moving in uniform circular motion with constant speed v and constant radius r
Remember if asked for the centripetal acceleration or force, give direction
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solve problems using the equation for the constant speed v of an object moving in uniform circular motion of constant radius r with a period of motion T
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convert between number of rotations over some time and the period of motion of the object
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solve problems using the equation for the optimum banking angle θ of a curve of radius r for vehicles moving at constant speed v
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answer questions requiring understanding of optimum banking angles (including the normal force)
Gravitation and Satellites
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answer questions requiring understanding of gravitational attraction between objects with mass
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answer questions requiring understanding of how Newton's second and third laws apply to gravitation
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explain why two objects dropped at the same height above a planet will experience the same acceleration even if they have different masses (and therefore different forces of attraction to the planet)
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solve problems using Newton's law of universal gravitation
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solve problems using the equation for orbital speed v of an object at radius r around a mass M
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answer questions requiring understanding of which orbits of a satellite around a planet are possible and why orbits are or are not possible
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answer questions requiring understanding the difference in orbit of geostationary and polar satellites, what they are used for, and how their use relates to their orbit
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apply uniform circular motion concepts and equations to solving problems involving satellites
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solve problems using the equation for period of orbit T of an object at radius r around a mass M
