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Related RatesA person is standing 350 feet away from a model rocket that is fired straight up into the air at a rate of 15 ft/sec. At what rate is the distance between the person and the rocket increasing?20 seconds after liftoff?? 1 minute after liftoff?A plane is 750 meters in the air flying parallel to the ground at a speed of 100 m/s and is initially 2.5 kilometers away from a radar station. At what rate is the distance between the plane and the radar station changing?initially and?30 seconds after it passes over the radar station?A light is mounted on a wall 5 meters above the ground. A 2 meter tall person is initially 10 meters from the wall and is moving towards the wall at a rate of 0.5 m/sec. After 4 seconds of moving is the tip of the shadow moving?towards or away from the person and?towards or away from the wall?Water is pouring into a cylinder at a rate of 10 Liters per minute. The cylinder has a radius of 2 meters with a height of 10 meters. The cylinder is already 10% full of water. At this moment, what is the rate of change in the height in Liters per SecondA television camera at ground level is filming the lift-off of a space shuttle that is rising vertically according to the position equation s?= 45t2, where?s?is measured in feet and?t?is measured in seconds. The camera is 2300 feet from the launch pad. At a time 14 seconds after liftoff, find the following:What is the altitude of the space shuttle after 14 seconds?What is the angular rate of change, in radians per second, that the camera must move to track the shuttle? ................
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