At noon, ship A is 130 km west of ship B. Ship A is sailing east...

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM?

Expert Solution

milcah answered 2 years ago

Differential Calculus - [Related Rates] — At Noon, ship A is 200 km east of ship...

Differential Calculus - [Related Rates] — At Noon, ship A is 200 km east of ship B and ship A is sailing north at 30 km/h. ten mins later, ship B starts to sail south at 35 km/h. a) What is the distance between the two ships at 3pm? b) How fast (in km/h) are the ships moving apart at 3pm? — Source Material: Stewart, J. (2016). Single variable calculus: early transcendentals. [Chapter 3.9]

At noon, ship A is 10 nautical miles due west of ship B. Ship A is...

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)? The area of a healing wound is given by A=πr2A=πr2. The radius is decreasing at the rate of 4 millimeters per day at the...

Two boats are leaving port at the same time. Ship A is sailing due east at...

Two boats are leaving port at the same time. Ship A is sailing due east at 40 km/h, and Ship B due south at 30 km/h. How fast are they moving away from each other after 2 hours?

Ship A is traveling north at 6 mi/hr, and ship B is traveling west at 12 mi/hr

Ship A is traveling north at 6 mi/hr, and ship B is traveling west at 12 mi/hr. When ship A was dead ahead of ship B, it was 6 mi away. Use MuPAD to determine how close the ships come to each other.

20 km east plus 10 km northeast

A 1,000-kg car moving east at 90 km/h collides head-on with a 1,500-kg car moving west...

A 1,000-kg car moving east at 90 km/h collides head-on with a 1,500-kg car moving west at 50 km/h, and the two cars stick together. (a) Which way does the wreckage move and with what initial speed? (b) How much KE is lost in the collision?

An airplane leaves from city A, located in the east 1500 km from city B. The...

An airplane leaves from city A, located in the east 1500 km from city B. The aircraft has a speed of 500km/h to the east and at the same time it blows a wind of 100km/h from the northeast. a) In which direction must the course be adjusted so that the direction of the aircraft is due east to the ground? b) How long does it take to get to city B? c) Answear question a and b again, but...

A disoriented physics professor drives 3.35 km north, then 4.67 km west, and then 1.69 km...

A disoriented physics professor drives 3.35 km north, then 4.67 km west, and then 1.69 km south. Part A Find the magnitude of the resultant displacement of this professor. Express your answer in kilometers. Part B Find the direction of the resultant displacement of this professor. Express your answer in degrees.

1. Relative to horizon stars rise in east and set in west everyday. a) True b)...

1. Relative to horizon stars rise in east and set in west everyday. a) True b) False 2. Relative to horizon the planets rise from west and set in east t every day. a) True b) False 3. During absorption of light electrons move from lower orbits to higher orbits a) True b) False 4. Apparent path of the sun among stars is called zodiac. a) True b) False 5. Galileo is the first astronomer to suggest the sun is...

Smooth Sailing is a private company that operates one cruise ship. Smooth Sailing’spurchase of the cruise...

Smooth Sailing is a private company that operates one cruise ship. Smooth Sailing’spurchase of the cruise ship was financed with nonrecourse debt. (Nonrecourse debt is a loan that is secured by a pledge of collateral, in this case the cruise ship, but for which the borrower is not personally liable. If the borrower defaults, the lender can seize the collateral, but the lender’s recovery is limited to the collateral.) The cruise ship has its own identifiable cash flows that are...

Question