2. A pulley 4 meters from the ground is used to lift a 100 kg block. If the rate at which the block is getting closer to the pulley is 0.2 meters/second, how fast is the block pulling away from the ground when it is 3 meters from the ground? 4 m y

Q: 3. A light is hung 15 ft above a straight horizontal path. If a man 2 ft tall is walking away from…

A:

Q: f. A truck travelling southwards at 40 kph and a car traveling eastward at a rate of 60 kph are…

A:

Q: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

A: A 14 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 4 ft/s, how…

Q: A 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that weighs 4 oz/ft.…

A: Given that, a 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that…

Q: A ladder of length 5 m rests against a vertical wall. If the base of the ladder is pulled away from…

A: Given:

Q: How do you solve question 5?

A:

Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm/min, find the rate at…

A:

Q: 1. Water is flowing at the rate of 2 m3/min into a tank in the form of an inverted cone having an…

A: It is given that the cone has altitude 16 m and radius 4 m. That is, hcone=16,rcone=4. Let r and h…

Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A:

Q: 1. A ladder 8 m long is leaning against a wall. If the bottom of the ladder is pulled horizontally…

A: We will draw figure and use differentiation  to find rate of change . Note . Only one question…

Q: A 5-ft-tall person walks toward a wall at a rate of 2 ft/sec. A spotlight is located on the ground…

A: 12. Let h be the height of shadow on wall using the similarity bof thr triangle,∆OAB, △OPQ,h40=540-x…

Q: At what rate is water pouring into a rectangular bathtub with base 65 fť if the water level rises at…

A: According to the given information it is required to calculate the rate at which water is pouring…

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

A:

Q: 2. A rope is attached to a boat at water level, and a man on the dock is pulling on the rope at the…

A: Draw the given situation at any time t then using Pythagoras theorem and application of derivative.…

Q: A weight is attached to one end of a 33-foot rope which passes over a pulley 18 feet above the…

A: The above problem statement can be pictorially represented as:

Q: A substance evaporates at a rate proportional to the exposed surface. If a sphericalmothball of…

A: The rate of evaporation is proportional to the exposed surface, and the exposed surface is that of a…

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A: At any time t, let the height of the water be h ft and the radius of the cone formed by the volume…

Q: 1. Water is poured into a conical tank 6 m across the top and 8m deep at the rate of 10 How fast is…

A: To find: The rate of water level rising when water in the tank is 5 m deep. Formula used: The volume…

Q: 2. A boat is being pulled into a dock by a rope attached to it and passing through a pulley on the…

A:

Q: 3. A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a…

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: Question 4

A: Let a be the acceleration, v be the velocity, s be the position and t be the time of braking.

Q: a) Water is flowing into a leaky cistern at the rate of 31.4 cu ft./min. The cistern is a right…

A: Given that  The water is flowing into a leaky cistern at the rate of 31.4 cu ft./min ⇒dVdt=31.4…

Q: If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at what…

A: (a)Given:

Q: 6) A 13 ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate…

A:

Q: 1. If the radius of a spherical balloon is increasing at the rate of 3 cm/s, which of the following…

A: We are only allowed to solve one question at a time so we will answer only the first question.…

Q: 2. A street lamp is 5m tall and located 6m from a brick wall. A person who is 2m tall walks away…

A:

Q: 3.) A conical tank is 10ft across the top and 12 ft. deep. If oil is poured into the tank at the…

A:

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

A:

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

A:

Q: A ladder 3.9 m long is placed in a vertical plane which is at right angle to the vertical wall, the…

A: Given :                     The height of the ladder = 3.9m                     Let x…

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley…

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 6 m divided by s.a. At what…

A: Let x  be the length of leg and h be the length of hypotenuse of an isosceles right triangle. Then…

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: A simple pendulum, consisting of a mass of 8.237 kg, is attached to the end of a 2.68 m length of…

A: To calculate the speed of the mass (in m/s) at the bottom of the swing. Given that: Mass = 8.237 kg…

Q: 5. A baseball diamond has the shape of a square with sides 90 ft long. A player 60 ft from second…

A:

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

A:

Q: A ladder 15 feet long leans against a vertical wall. If the bottom of the ladder is pulled away from…

A: According to Pythagorean theorem , square of the hypotenuse side is equal to sum of the square of…

Q: The top of a ladder that is 5 m long slides down a vertical wall at a rate of 2 m/s. At what rate…

A: Given :Length of ledder=5m

Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

A: Given:

Q: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

Q: 2. A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from…

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: A ladder of length 5 m rests against a vertical wall. If the base of the ladder is pulled away from…

A:

Q: 2) A kite is flying at a fixed height of 30 ft. If 50 feet of string is out already from the spool,…

A: Given- A kite is flying at a height of 30 feet, if 50 feet of string is out already from the spool…

Q: A boat is pulled toward a pier by means of a taut cable. If the boat is 20 ft below the level of the…

A:

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Given: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when…

Q: 13-foot ladder is leaning against a wall. If we pull the ladder away from the wall at a rate of 4…

A:

Q: How fast is the surface area of a cu

A: Given that : Edge of a cube = 30 cm Th edge changing at the rate of 3 mm per second.

Q: 5 If a snowball melts so that its surface area decreases at a rate of 10 cm2/min, find the rate at…

A: