9. At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing east at 20km/h. How fast is the distance between the ships changing at 3:00PM?

Q: 5. A kite 100 feet above the ground is being blown away from the person holding its string in a…

A: So, here x2+1002=s2...(1) Given dxdt=10 Now, at s=200, from (1):…

Q: 2. A girl of height 120 cm is walking toward a light on the ground at a speed of 0.6 m/s. Her shadow…

A: Given,            A girl of height 120 cm is walking towards a light on the ground at a speed…

Q: Car A leaves a parking lot at 9 am and travels eastward at the rate of 60 kph. Another vehicle, car…

A:

Q: (2) Researchers have determined that Titan (one of the Moon's of Saturn) has liquid water. If we…

A: The average distance between Earth and Titan is 890.74 Million miles which is about 1433.5 Million…

Q: At noon, ship A is 160 km north of ship B. Ship A is sailing south at 40km/h and ship B is sailing…

A:

Q: A rabbit is traveling at a pace of 250 meters per hour. How fast is the rabbit  traveling in…

A: Given:    Distance = 250 meter per hour

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A: The plane is flying at a constant altitude of 1 mile. Let x be the horizontal distance and y be the…

Q: 4. Shirogane, who is 175 cm tall, is walking at a rate of 3 meters per second towards a lamppost…

A:

Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

A:

Q: Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph, are…

A:

Q: 3. If a person is running west in downtown Austin at 2.5 km/hr relative to the ground and from his…

A:

Q: A truck is 300 kilometers due east of a car and is traveling west at a constant speed of 30km/hr.…

A: (a) Let the initial position of the car be at the origin. Take the x-axis from west to east and the…

Q: Suppose you drive from Here to There at a speed of 30 miles/hour and then drive backfrom There to…

A: Given Data: Let the distance from Here to There be 'x' miles We know that Time=DistanceSpeed   Time…

Q: Two cyclists are travelling on a grid. At noon, cyclist A is 10 km west of cyclist B. Cyclist A is…

A: Given  At noon, cyclist A is 10 km west of cyclist B.  Cyclist A is travelling west at 10 km per…

Q: A lamp post 3 m high is 6 m from a wall. A man 2 m tall is walking directly from the post toward the…

A:

Q: A baseball diamond has equal sides of 90 ft in length and each pair of adjacent sides are…

A: We will use vector projection and project the velocity vectors of B and C along the line joining…

Q: Two people start from the same point. One walks east at 2 km/h and the other walks northeast at 3…

A:

Q: A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same…

A:

Q: wo cars start moving from the same point. One travels south at 16 mi/h and the other travels west at…

A:

Q: A plane is flying at a constant altitude of 1 mile and a speed of 400 mph toward an observer on the…

A:

Q: A man, 1.65 m tall is walking on a horizontal street at 2.3 kph away from a vertical street light,…

A:

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 2m/sec…

A:

Q: 2. An airplane is flying towards a radar station at constant height of 6 km above the ground. If the…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: A man 1.8m tall walks away from a lamp post 4m high at a speed of 1.5 m/s. How fast is his shadow…

A: Consider the given information

Q: 13. A 10-meter ladder is leaning against a vertical wall with its foot on the same horizontal plane…

A:

Q: 2. Suppose a ball is thrown downward with an initial velocity of 3.00 m/s, instead of being dropped.…

A:

Q: Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the other…

A: Topic:- application of derivatives

Q: Suppose car A is heading south at 85 km/h and car B is heading east at 90 km/h. Both are headed for…

A: Consider

Q: Suppose the length of the diagonal of a square is increasing at the rate of 2 inches per second. At…

A:

Q: A girl starting at 11 A.M., travels east at 4 km/hr while a boy, starting at noon from the same…

A:

Q: A man, 1.59 m tall is walking on a horizontal street at 2.5 kph away from a vertical street light,…

A:

Q: 4. A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at…

A: Let the distance travelled by car travelling at 45 mph from intersection be x at any point of time.…

Q: 4. A father is running west at 5 m/hr and his son is running north at 6 m/hr. Both are headed for…

A: I am attaching image so that you understand each and every step.

Q: A baseball diamond has equal sides of 90ft in length and each pair of adjacent sides are…

A:

Q: The volume of a cube is increasing at the rate of 1200 cm3/min at the instant its edges are 20 cm…

A: Let the length of the sides of the cube = xAnd the volume of the cube = V = x^3

Q: 4. A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast…

A:

Q: 2. It takes a car salesman 2.5 hours to drive from one city to another if he drives at a constant…

A: We know that , distance = velocity×Time

Q: 8. If a plan is moving horizontally at 100 mi and is falling at 10 mi how fast must an observers eye…

A: Solution

Q: The volume of a cube is increasing at the rate of 1200 cm³ / min at the instant its edges are 20 cm…

A:

Q: 6. What is the rate at which the two hands of the clock are separating when the time is two o'clock…

A:

Q: 29. A kite 100 feet above the ground is being blown away from the person holding its string. It…

A: Solution Let initially  kite was at position A while person holding Kite was at position O such that…

Q: 3. The commercial jets at 40 000 ft are flying at 520 mph along straight-line courses that cross at…

A: Here both intersect at right angle  So if we take the interesection is O  So OA = 5       OB = 12…

Q: the minute hand of a clock is 15 mm long and the hour hand is 12 mm. How fast is the distance…

A:

Q: 6) A light is 20 meters above a straight horizontal path. If a man 1.65 meters tall is walking away…

A: Given: Height of light is 20 meter. Height of man is 1.65 meters. Rate with which man is walking is…

Q: Two people on bikes are separated by 350 meters. Person A starts riding north at a rate of 8 m/sec…

A:

Q: A baseball diamond has the shape of a square with sides 90 feet long.  Suppose that player A is the…

A: Use Pythagoras theorem

Q: OH NO!! CERTAIN DOOM: Car A is traveling west at 50 mi/hr and car B is traveling north at 60 mi/hr.…

A:

Q: A man, 1.84 m tall is walking on a horizontal street at 3.9 kph away from a vertical street light,…

A:

Q: 2. Ship A is 15 miles east of O and moving west at 20 mi/hr, ship B is 60 miles south of O and…

A: Given : Ship A is moving west at 20 mph and ship B is moving north at 15 mph

Q: 1. An airliner passes over an airport at noon traveling 530 mi/hr due west. At 1:00 P.M., another…

A: We have to find the rate of change of distance between two planes at 2:30 PM. We will use…