6. Three cliff divers jumped off a cliff down to the river below at the same time. In what order did the 3 cliff divers land in the water? Courageous Cowley dove directly down at the water Clutzy Clevy fell off the cliff at a height of 200 Graceful Greenleaf leapt up into the air with an initial velocity of 20 ft/s from a height of 100 feet. below with an initial feet. velocity of 25 ft/s, from a height of 260 feet.

Q: 4. A boy is flying a kite at a height 150 ft. If the kite moves horizontally away from the boy at…

A: Given query is to find the rate of change of length of string.

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: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

A:

Q: A body moves along a horizontal line in accordance to s t + 9t2 + 24t. Find the total distance…

A: Given query is to find the distance traveled by the body

Q: . At exactly 5pm., Boyet left Pasay using his car. One  hour later, Joseph left the same place and…

A:

Q: How do you solve question 5?

A:

Q: 18. A kite string is paid out at a constant rate of 3 ft/s. If the wind carries the kite…

A:

Q: A 13-foot ladder is placed against a wall. If the top of the ladder is sliding down the wall at 3…

A:

Q: 1. A person throws a ball upward from the top of a building 80 ft from the ground. What should be…

A: TO FIND: Initial velocity

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: (2) A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1)…

A: Topic:-  basic maths  Note :- as per our guideline if more than three subparts need to be answered…

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

A:

Q: A bucket that weighs 4 lb and a rope of negligible weightare used to draw water from a well that is…

A:

Q: Car A is traveling west at 50 mi/h and Car B is traveling north at 60 mi/h. Both are headed for the…

A: In first question we find out dz/dt .and in 2nd question first we put dy/dx=0 for extreme values.and…

Q: The submarine U.S.S. Dallas shoots a torpedo at the Soviet submarine V.K. Konovalov, which is 6732…

A: Use the equations of motion to solve the following problem. Use the given data and proper equation…

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: 21. In basebalI, a batter stands 2 feet from home plate as a pitch is thrown with a velocity of 130…

A: Answer is mentioned below

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

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  Speed…

Q: A tank contains 80 galloons (gal) of pure water. A brine solution with 2 lb/gal of salt enters at 2…

A: Given that, A tank contains 80 galloons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: pherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At…

A: The radius of the balloon decreases at the rate of =15 cm/min let radius of balloon =r then…

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

A:

Q: 39. How fast is the volume of the cube changing at the moment that the cube has a side length of 8…

A:

Q: A 6.7 kg ball has zero kinetic and potential energy. Ernie drops the ball into a 1.7-m-deep well.…

A:

Q: A cannonball is fired directly upward from a height of 0 feet, with an initial velocity of 220 feet…

A:

Q: The sides of a triangle measuring 40 m, 32 m, and 16 m increase at the rates of 2 m/s, 5 m/s and 3…

A: Area of triangle: If x, y and z are sides of triangle then area A of triangle is given by A = s(s -…

Q: 3. A man rows downstream at the rate of 5 mph and upstream at the rate of 2 mph. How far downstream…

A: Let the man goes x miles downstream. Assume, the man takes t1 hour to go downstream and t2 hour to…

Q: 1. A woman jogs halfway home at 8 km/h and walks the rest of the way at 6 km/h. Find her average…

A: To Determine: A woman jogs halfway home at 8 km/h and walks the rest of the way at 6 km/h. Find her…

Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the…

A: topic - application of derivatives

Q: A stone is thrown vertically upward from the ground with an initial velocity of 40 ft/sec. (2.1) How…

A: This is a problem related to velocity and distance travelled by stone. Based on the newton's law of…

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: This question can be solved using the concept of rate of change of physical quantities.

Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

A:

Q: 42. If water enters a certain type of garden hose with a diameter of 1.5 cm at a speed of 5 m/s,…

A: 42. Given data is : Diameter of garden hose d1=1.5cm                               Speed v1=5m/s…

Q: A tank contains 100 L of water. A salt solution containing 2 kg of salt per liter flow in at the…

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. One car leaves a given point and travels north at 30 mph. Another car leaves 1 hour later, and…

A:

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: 4. The acceleration due to gravity is -9.8 meters per second squared. An object is thrown upward…

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: vulcanizing shop has a trapezoidal drum that is 5 meters long, 1.5 meter wide at the top, 1 meter…

A: Solution of the problem as follows

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: 4. A baseball diamond is a square with side 30 yards. A batter hits the ball and runs towards first…

A: here we use the application of derivative

Q: 9. If a rock is thrown vertically upward from the surface of Mars with velocity 15 m/s, its height…

A: Height of the rock after t seconds which is thrown vertically upward from the surface of the Mars…

Q: 18 Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = s°V2…

A: Given that the volume of a tetrahedron is: 1442cm3 So, V=112s32 So, 112s32=1442⇒s3=123⇒s=12

Q: Two cars are traveling along a straight-line in the same direction, the lead car at 25.0 m/s and the…

A: Consider the given: Initial Speed of the lead car (uL)=25.0 m/sFinal Speed of the lead car (vL)=0…

Q: - Show that the volume V of a regular tetrahedron, all of whose side lengths are s, is V = 2 (all…

A:

Q: Tank A contains 407 litres of brine holding 181 N of dissolved salt, and tank B contains 407 litres…

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