An object is thrown vertically upward with an initial velocity of 16 ft/sec from the top of a house 96 ft above the ground. What is the average velocity of the object from =1 sec to 1=3 sec?

Q: A ball is shot straight up into the air with initial velocity of 45 ft/sec. Assuming that the air…

A: we know third law of equation of motionv2=u2+2aswhen ball reaches to highest point then final…

Q: velocity

A: We have : h=12t2+12t We have to find the velocity of the balloon at the end of the 39 sec.

Q: A 13 foot ladder leaning against a wall is pulled away from the wall at a constant rate of 3ft/s and…

A: Given,         A 13-foot ladder leaning against a wall is pulled away from the wall at a constant…

Q: A 13-foot ladder is resting against a wall and the bottom is initially 10 feet away from the wall.…

A: To find- rate at which its top moving up the wall.

Q: 16 foot ladder is leaning against a wall. If the top of the ladder slides down the wall at a rate of…

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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…

Q: A 25 feet ladder leans against a vertical wall. The foot of the ladder is pulled away from the wall…

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Q: The radius of a spherical balloon is decreasing at a rate of in/sec.

A: Radius of balloon = r = 4 inchesDecreasing rate of balloon = drdt = -2πinches/secondVolume of…

Q: A kite 100 feet above the ground moves horizontally at a speed of 10ft/s. At what rate is the angle…

A: Let the horizontal distance be x. From the given data of question: And the diagram is:

Q: A ladder 15 ft long leans against a vertical wall. If the top slides down at the rate of 2 ft per…

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Q: The depth of water in a 4m diameter cylindrical tank is increasing at the rate 0.7m/min. Find the…

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Q: A kite 30 m above the ground moves horizontally at a speed of 10 m/min. At what rate is the angle…

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Q: An eagle flying horizontally at an altitude of 6 m and speed of 4 m/s passes over a beaver standing…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: Given thatLadder length = 10 ftDistance of ladder from the bottom of wall = 6 ftRate of change of…

Q: What is the velocity (in ft/s) of a sandbag 0.25 s after it is released from a hot-air balloon that…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of 0.04…

A: When a circular plate of metal is heated in an​ oven, its radius increases at a rate of  0.04…

Q: An egg is thrown off the roof of a 60ft. building with an initial velocity of 6.5 ft/s. How long…

A: Given initial velocity = 6.5fts

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

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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: A 15-meter ladder is resting against a vertical wall, If the bottom of the ladder is being pushed…

A: Let ladder AB, l=15 m, Ladder is pushed horizontally at the rate of 1.5 m/s, ⇒dydt=1.5 We need to…

Q: An object is thrown vertically upward from a point 32 feet above the ground with an initial velocity…

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Q: A 13-foot ladder is resting against a wall and the bottom is initially 10 feet away from the wall.…

A:

Q: A rectangle's length is increasing at the rate of 5 inches/sec, its width at 2 inches/sec. At what…

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Q: During the construction of a high-rise building, a worker accidentally dropped his portable electric…

A: After t seconds, the screwdriver falls a distance s=16t^2.

Q: What is the velocity of an object falling from 6m high cliff?

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Q: When a circular plate of metal is heated in a oven, its radius increases at a rate of 0.05 cm/min.…

A: drdt=0.05cm/minradius, r=52cmArea=πr2Derivative formuladdxxn=n xn-1

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A: A ladder with 10 ft resting on a wall is shown in below figure.

Q: Each side of a square is increasing at the rate of 8 cm/sec. At what rate is the area of the square…

A: Solution :let, side of square=xArea of square=Adxdt= 8 cm/secA= 36 sq. cmA=x2    Area of square=side…

Q: A ball is thrown upwards with an initial velocity of 64 ft/sec from the top of a building which is…

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A plane flying horizontally at an altitude of Imi and a speed of 500mi/hr passes directly over a…

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Q: a spherical balloon is filled with gas at a rate of 300 mm3/sec. Find the rate at which the surface…

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Q: A ball is shot straight up into the air with initial velocity of 47 ft/sec. Assuming that the air…

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Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm…

A: Given:When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

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: A plane flying horizonrally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a…

A: given that plane is flying horizontally at an altitude of 1mi speed=500 mi/h find the rate at which…

Q: What constant acceleration is required to increase the speedof a car from 30 mih to 50 mih in 5 s?

A: Given: u=30 mihour, v=50 mihour, t=5 second for finding acceleration, first we convert given…

Q: What is the velocity (in ft/s) of a sandbag 3.0 s after it is released from a hot-air balloon that…

A: According to Questions  Initial velocity (u)=0 ft/s  time=t=3s

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance…

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: The sides of a square increases in length at a rate of 3 m/sec. At what rate is the area of the…

A:

Q: How many kilometers can a train moving at an average velocity of 25 m/s southwest be displaced in 2…

A: Given, average velocity of train = 25 m/s 2 hours = 2x60x60 = 7200 seconds

Q: A rock is thrown from the top of a 120ft cliff with an initial velocity of 20 ft./sec  how 2…

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Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: A car travels from A to B at an average speed of 80 kph and back to A without loss of time at an…

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

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Q: A person is walking at a rate of 5 ft per hour toward the foot of a flag pole 60 feet high. At what…

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Q: A 15-foot ladder is slider down a wall at a rate of 3 ft/sec.  At what rate is the bottom of the…

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