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A skateboarder shoots off a ramp with a velocity of 6.8 m/s, directed at an angle of 59° above the horizontal. The end of the rampis 1.3 m above the ground. Let thex axis be parallel to the ground, the +ydirection be vertically upward, and take as the origin the point onthe ground directly below the top of the ramp.
(a) How high above the ground is the highestpoint that the skateboarder reaches?
(b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp?
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A model rocket is launched straight upward. Its altitude y as a function of time is given by y = bt -ct2, where b = 82 m/s, c = 4.9 m/s2, t is the time in seconds, and y is in meters, (a) make use of differentiation to find out a general expressio..
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