A baseball player throws a ball straight up into the air. At a height of 3.4 m above the release point, the ball is moving at 1.9 m/s. What was the ball's initial speed in m/s? assume g = 9.8m/s².

Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is…

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Q: B. How rapidly will the water level inside a vertical cylindrical tank if we pump the water out at…

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Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: Assuming your car can slow at a constant rate of 15 ft/sec2, how much distance will your car cover…

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Q: The ice cream in a sugar cone (conically shaped) has all melted and is dripping out a hole in the…

A: To express r in terms of h, use the the ratio between the height and radius of the cone is constant…

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a…

A: Given , S= 150-3            S= 147 m            a = -9.8 m/s2

Q: A golfer takes a swing from a hill twenty feet above the cup with an initial upwards velocity of 32…

A: It is given that, initial upward velocity from the hill is, v=32 feet per second, angle of swing…

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

A: Let, l be the length of a legth of a leg of an isosceles right triangle, h be the length of the…

Q: A street light is at the top of a 29 ft pole. A 4 ft tall glri walks along a straight path away from…

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Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: A l10-ft ladder is leaning against a vertical wall. If the bottom of the ladder is pulled away from…

A: If you like the solution then please give it a thumbs up.. The Answer is:        dy/dt = -3/2  or…

Q: A 60-kg skydiver jumps out of an airplane. What is her terminal velocity, in meters per second,…

A: Given, Mass (m) of the skydiver = 60-kg, and k = 10-kg/s

Q: Water is pouring from a hole at the rate of 25 cu. m per minute and is forming a conical pile on the…

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

Q: A coin of mass 0.05kg is dropped from the top of the Eiffel tower, which is 300m tall. It…

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Q: A 7,453 newton car is initially at rest. How much force (in Newton) is required to move the car by…

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Q: A 8,511 newton car is initially at rest. How much force (in Newton) is required to move the car by…

A: 2

Q: A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, t…

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Q: A light is on the top of a 12 ft tall pole and a 5 ft 6 inches tall person is walking away from the…

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Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is…

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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: 1. If the motor on a motorboat is started at t = 0 and the boat consumes gasoline at the rate of 6 –…

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Q: A cube is expanding at the rate of change 64 m³/s. What is the rate of change of its surface area…

A: This question is based on application of derivative.

Q: The turbine fan blade of a turbojet engine is 1.2 m in diameter and rotates at 250r/s. How fast is…

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Q: A Fluid flows in an inverted conical tank, 14 in diameter on top and 24in deep at a rate of…

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Q: A spherical snowball melts at a rate of 2 cubic centimeters per hour. How fast is the radius…

A: We know that the volume of a spherical snowball is v = 43πr3 where v is the volume and r is the…

Q: A 50 ft ladder is placed against a wall, as shown below. The base of the ladder is slipping away…

A: Let the horizontal distance of the ladder is = x ft Vertical distance = y ft So, Given that:…

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute.

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Q: A kite, at a height of 60 ft. is moving horizontally at a rate of 5ft/sec. away from the boy who…

A: From the given information, draw a picture.

Q: 4. A street light is at the top of a 16 ft pole. A 6 ft tall woman walks along a straight path away…

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Q: 31 An ice (ube is slowly melting, losing 3cm3 of water each hour. If it a lways remains a Perfect…

A: Volume of a cube=(side)^3

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 50 – gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1 lb…

A: Remaining capacity of tank is 50-10 = 40 gallons.

Q: A car braked with a constant deceleration of 18 ft/s2, producing skid marks measuring 100 ft before…

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Q: on the moon, the acceleration of a free falling object is a(t) = -1.6 meters per second per second.…

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Q: A kite, at a height of 60ft.is moving horizontally at rate of 5ft./sec away from the boy who flies…

A: In right angle triangle ,According to the Pythagoras theorem , H2 = P2 + B2 Where H is horizontal ,…

Q: A car braked with a constant deceleration of 8 ft/s2, producing skid marks measuring 100 ft before…

A: constant deceleration of 8 ft/s2  skid marks measuring 100 ft

Q: A spherical balloon is deflated at a rate of 10 cm3 s-1. Find the rate change of the surface area…

A: given: A spherical balloon is deflated at a rate of 10 cm3s-1. we have to find the rate change of…

Q: A car braked with a constant deceleration of 16 fts 2 , producing skid marks measuring 200 ft…

A: Given, deceleration a(t) = 16 ft/sec2. s(0) = 0 ft and s(T) = 200 ft and v(T) = 0. Where T is the…

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

Q: The surface area of a balloon that is being filled with helium increases at a rate of 5 square feet…

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Q: A furniture Fis attached to a rope 50 meters long that passes over a pulley at point A, 20 meters…

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Q: If the basketball hoop is 10 feet high and located 15 feet away, what initial velocity v should the…

A: It is given that the basketball hoop it 10 feet high and located 15 feet away.

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: A car braked with a constant deceleration of 16 ft/s2, producing skid marks measuring 50 ft before…

A:

Q: The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is…

A:

Q: The diameter of a spherical balloon that is being filled with air is increasing at the rate of 3…

A: the volume of the sphere is given by ..............(1)

Q: A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2 . How much force did this require?

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Q: a projectile is fried upward from ground level with an initial velocity of 244 ft/sec. how high will…

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