1. A person throws a ball upward from the top of a building 80 ft from the ground. What should be the initial velocity of the ball if the ball must attain a maximum height of 130 ft?

Q: Water is poured into a conical paper cup at the rate of 3/2 in/sec (similar to Example 4 in Section…

A: I will use the formula V=13πr2h and differentiation method to solve this problem.

Q: A stone is thrown vertically upward with a velocity of 40 feet per second from the top of a tower…

A: Given that - A stone is thrown vertically upward with a velocity of 40 feet per second from the top…

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Q: A light is hung 6 meters above a straight horizontal path.  If a man 2 meters tall is walking toward…

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Q: A vertical cylinder is leaking water at a rate of 3 m/sec. If the cylinder has a height of 10 m and…

A: The volume of the cylinder is given by V=πr2h, where V=volume of the cylinder r=radius of the…

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

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Q: A trough of water is 8 meters in length and its ends are in the shape of isosceles triangles whose…

A: Given:- A trough of water is 8 meters in length and its ends are in the shape of isosceles triangles…

Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

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Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

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Q: If a cannonball is fired from a hillside 75 meters above ground with an initial velocity of 100…

A: Initial velocity = 100m/s  Fired from a hillside 75 m above ground Final velocity , v = 0

Q: 6. An object is thrown vertically upward from the ground with an initial velocity of 1960 cm/sec.…

A: GIVEN - INITIAL VELOCITY =1960cm/sec = 19.6 m/sec  HINT -USE NEWTON LAWS  TO FIND - maximum height…

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: A baseball diamond is a square whose sides are 90 ft long. Suppose that a player from asecond base…

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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: A trough whose cross section is an equilateral triangle is 6 m long and 2 m wide across the top. If…

A: Solve by diagram and using formulas of equilateral triangle

Q: Assume the accleration of the object is a(t) = −9.8 meters per second per second. (Neglect air…

A: When the ball will reach it's maximum height, at that point of instance the final velocity will be…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: dVdt==55, side length b0=4 and height h0=11. To find: dhdt, when h=2.

Q: A 500-g ball at the level ground is kicked at a velocity of 30 m/s at an angle 25 degrees from…

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

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Q: A kite is 30 meters above the ground and is moving in a path away from the control reel parallel to…

A: Draw the diagram by using the given information. By using the Pythagorean theorem, x2+y2=z2…

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

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Q: A rocket is shot vertically upward from the ground with an initial velocity of 192 ft/sec. 1. When…

A: NOTE: Refresh your page if you can't see any equations. . here g=32 feet/s2 (gravity) v0=192 ft/s…

Q: A ball is thrown upward from the ground with an initial speed of 25m/s. at the same instant, another…

A: Solution   Given a ball is thrown upward from the ground with an initial Same from Speed of 25m/s,…

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

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Q: A vertical cylinder is leaking water at a rate of 8m^3/sec. if the cylinder has a height of 10m and…

A: In a vertical cylinder water is leaking at a rate of 8 m3/sec. dVdt=8 Height of the cylinder is 10…

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

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Q: Suppose that an initially full hemispherical water tank of radius 1 m has its flat side as its…

A: Given:

Q: Suppose that a drop of mist is a perfect sphere and that, through condensation, the drop picks up…

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

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

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Q: A piece of wire of length 12 cm was cut into two pieces. The first was folded to form an equilateral…

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Q: With what initial velocity must an object be thrown upward from a height of 8 feet to reach a…

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Q: Suppose a woman has enough “spring” in her legs to jump (on earth) from the ground to a height of…

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Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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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: 3. A flare is fired straight up from the ground with an initial velocity of 100 ft/s. How long will…

A: The position equation is given by: s=-16t2+v0t+s0 Where s is the final position, s0 is the initial…

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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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: An inverted conical tank 10 m high and 3 m radius at the top fills with water at a constant rate. At…

A: Given: An inverted conical tank 10 m high and 3 m radius at the top fills with water at a constant…

Q: As dry air moves upward, it expands and, in so doing, cools at a rate of about 1o C for each…

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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 Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

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Q: A tubular metal 3.9 meters long leans against a vertical wall and the other foot of the metal is on…

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Q: 1. A ball is thrown up in the air from a cliff with the initial speed of 10 meters per second and…

A: Velocity displacement problem

Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per…

A: Let r be the radius and v be the volume of balloon, Given dvdt=26 cf/minuteswe know…

Q: A horizontal trough is 16m long, and its ends are isosceles trapezoids with an altitude of 4m, a…

A: The derivative is also called the rate of change of a quantity with respect to time. The volume of a…

Q: A rocket is launched from an initial height of 50 feet from the ground. It has an initial upward…

A: