If an airplane is flying at 140 miles per hour East and turns in a smooth curve with a diameter of 3 miles what is the centripetal acceleration in m/s2

Velocity at the Equator Assuming the radius of the earth is 4,000 miles, use the information from Problem 43 to find the linear velocity of a person standing on the equator.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.

A child flies a kite at 90ft. The wind is carrying the kite horizontally away from the child at a rate of 30ft/sec. how fast is the string being paid out when the kite is 150ft away from the child?

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…

Suppose the car is 100 miles from the rocket’s launchpad, racing toward it at 60 miles per hour, whenthe rocket takes off at 90 miles per hour. Assume that the velocities of the car and the rocket are constant. How fast is the distance between the car and the rocket (marked ”c”in the diagram) changing after 10 minutes=1/6 of an hour? (Give your answer to 4 decimal places). Provide clear steps and explanations.

B. A photographer is stationed 250 feet from the base of a tall tree. She observes a koala bear climbing up the tree at a rate of 1.5 feet per second. At the instant when the koala bear is 5 feet up the tree, how fast is the distance between the photographer and the koala bear changing?

A climber is climbing a mountain and after 3 hours is at an elevation of300 metres. After 7 hours the climber is at 900metres. What was the average rate of change of the climber's elevation over this time period?

A streetlight is 8m from a wall and 4m from a point along the path leading to the wall. The light is 8m high. How fast is the shadow of the man 1.8m tall shortening along the wall when he is 3m from the wall. The man walks towards the wall at the rate of 0.6m/s