e An airplane flying on a straight flight path will be exactly above a radar trackingstation, which is 5,000 km below the path. When the distance of the plane from thestation is 40,000 km, this distance decreases at the rate of 8,000 km/hr. At what rate isthe plane flying at that instance?novif. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kphare headed for an intersection. At what rate are the vehicles approaching each otherwhen the truck is 1 km from the intersection while the car is 2 km from theintersection?g. Water is being poured at the rate of 5 m³/sec into an inverted conical tank of radius10 m and altitude 20 m. How fast is the water level rising when the water level is at8 m? (Note: Here you will be using the concepts of similar triangles in order to rewritethe radius in terms of the height.)itoun bonth. A particle is moving along the curve with equation y = 3-x. At the point (2, 1), itwas observed that the x-coordinate is decreasing at a rate of 2 cm/sec. How fast is they-coordinate changing at that instance? i. In a hot-air balloon contest, it was observed that a particular contestant's hot-airballoon rises vertically at a constant speed of 20 m/min. At an observation point 400 maway from the point directly under the hot-air balloon, determine how fast the angle ofelevation of the balloon is changing when the time that had elapsed is 10 min.j. A boat that arrives at a dock 20 ft above water level is being pulled in by a fishermanusing a rope at the rate of 1.5 ft/sec. How fast is the boat approaching the dock whenthe total length of rope out is 50 ft?K. Brain weight A grams was modeled to be a function of body weight B grams for amouse, according to the equation A = 0.015B3. How fast is the brain weight increasingwhen the mouse's body weight is 200 grams?1. Sand is being sifted onto a conical pile at the rate of 0.3 ft /sec. It was also observedthát at any instance, the base diameter of the pile is twice that of the height. How fast isthe height of the pile increasing when the pile is 2 ft high?

Question

Accepted Answer

Given:
Perpendicular distance between station and plane is 5,000 km.
To find rate of distance of…

hen the distance of the plane from at the rate of 8,000 km/hr. At w