Problem 14: Suppose an object weighing 64 pounds stretches a spring 8 feet. If the object is attached to the spring and released 5 feet below the equilibrium position from rest, find the equation of motion of the object, x(t). Problem 15: The voltage V in an alternating current source has amplitude 110N2 and ordinary frequency f=

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Please walk me through this problem. Thank you!

e An airplane flying on a straight flight path will be exactly above a radar tracking station, which is 5,000 km below the path. When the distance of the plane from the station is 40,000 km, this distance decreases at the rate of 8,000 km/hr. At what rate is the plane flying at that instance? novi f. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kph are headed for an intersection. At what rate are the vehicles approaching each other when the truck is 1 km from the intersection while the car is 2 km from the intersection? g. Water is being poured at the rate of 5 m³/sec into an inverted conical tank of radius 10 m and altitude 20 m. How fast is the water level rising when the water level is at 8 m? (Note: Here you will be using the concepts of similar triangles in order to rewrite the radius in terms of the height.) itoun bont h. A particle is moving along the curve with equation y = 3-x. At the point (2, 1), it was observed that the x-coordinate…