A ball is thrown from a height of 880 feet above ground with an initial velocity of 96 feet per second. From physics it is known that the velocity at time t is v(t)=96-32t feet per second.

Q: A particle is moving so that at any time t, its acceleration is 10t for t > or equal to 0. At the…

A: Given that,The acceleration of the particle is 10t for t ≥ 0.The particle reached at the distance of…

Q: A ball is thrown upward from a height of 256 feet above the ground, with an initial velocity of 96…

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Q: If an arrow is shot upward on the moon with a velocity of 58 ms, its height (in meters) after t…

A: When the arrow hits the moon then the height is 0. So, H=0 We will find t for H=0

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

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Q: consider a tree with a tr

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Q: A lighthouse sits 1 km offshore, and its beam of light rotates counterclockwise at the constant rate…

A: Let x be the image of the beam on the coastline and let theta be the angle as on the given figure.…

Q: Over the past fifty years the carbon dioxide level in the atmosphere has increased. Carbon dioxide…

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Q: A particle moves along a straight line with a velocity v(t) =t*e meters per second after t seconds.…

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Q: 1. A 17 feet ladder is leaning against a wall. If the bottom of the ladder is pulled along the…

A: Given : dx/dt = 5 y = 8 Now we find the dy/dt = ?

Q: The Ideal Gas Law is PV = mRT where P is the pressure, V is the volume, m is the constant mass, R is…

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Q: A bacteria population starts with 400 bacteria and grows ata rate of  r(t) = (450.268)…

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Q: In some chemical reactions, the rate at which the amount of a substance changes with time is…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a…

A: The given question has been solved in detail.

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: A freshly brewed cup of coffee has temperature 95 ° C in a 20 ° C When its temperature is 70 ° C it…

A: The temperature of a freshly brewed coffee is 95°C and the temperature of the room is 20°C. When the…

Q: If a ball is thrown into the air with a velocity of 40 fts, its height in feet seconds later is…

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Q: In physics, the kinetic energy, K, of an object of mass m, moving at a velocity v, is given by the…

A: Given that kinetic energy K for an object of mass m and velocity V is given by K=(1/2)mv2. If mass…

Q: Suppose that the acceleration of a vehicle at time t (in s) is given by a(t) = 2t+ 1 (mph/s).If the…

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Q: A substance cools in moving air at a rate proportional to the difference between the temperature of…

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Q: In the equation, x² +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: Suppose that electricity isdraining from a capacitor at a rate that is proportional to the voltageV…

A: Given equation in the question is: Integrating both sides: We have, at t = t0, V  = V0 =>ln(V0)…

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a…

A: Here is the solution

Q: A train moving with constant acceleration travels (24 m) during the (10th)s of its motion and (18 m)…

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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: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

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Q: | Suppose that electricity is draining from a capacitor at a rate proportional to the voltage V…

A: The given differential equation is dVdt=-140V, where V is the voltage and t is the time in seconds.…

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: Refer to the question we have to find when the Egyptian die. It is given that amount of carbon-14…

Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

A: Let V denote the volume and A denote surface area. Rate of melting is proportional to its surface…

Q: A body of unknown temperature is placed in a refrigerator at a constant temperature of 0° F. If…

A: Given:- A body of unknown temperature is placed in a refrigerator at a constant temperature of 0° F.…

Q: A body of an unknown temperature is placed in a room which is held at a constant temperature of 30 .…

A: Given that, A body of an unknown temperature is placed in a room which is held at a constant…

Q: A runner starts at the beginning of a runners' path and runs at a constant rate of 5 mi/hr. Fifteen…

A: First, we need to calculate the relative speed which is, the difference between the speed of the…

Q: A particle moves along a straight line with a velocity v(t) = t²e²t meters per second after t…

A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

Q: At time t = 0, Car A passes through an intersection and goes east at a speed of 40 feet per second.…

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Q: The brakes of a car are applied when it is moving at 80 km/h and provide a constant deceleration of…

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/2, where k is a…

A: Use simple velocity, distance, acceleration formula.

Q: Consider a scenario in which a 20ft tall lamppost lights up a street. (a) A 5ft tall woman stands…

A: Length is a measure of distance. In the International System of Quantities, length is a quantity…

Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage…

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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: At what rate is the height of the water rising at the instant the tank is half full?

A: To find the rate at water rising

Q: When air expands adiabatically (without gaining or losingheat), its pressure and volume are related…

A: Given that When air expands adiabatically (without gaining or losing heat), its pressure and volume…

Q: A cup of coffee cools at rate proportional to the difference between the constant room temperature…

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Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage…

A: Solve the differential equation by variable separable method. 1) when it is given that voltage drop…

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

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Q: A balloon is 20m horizontally away from an observer. At an constant, the balloon rises vertically at…

A: Let the distance between ballons and observer is y and vertically distance from the ground is x m…

Q: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s?, how long will it take…

A: If a bus travelling at 25 m/s is subjected to a steady deceleration of 5 m/s2 .We have to find  how…

Q: A certain radioactive substance has a half-life of 50 hours. Find how long it will take for 90% of…

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Q: A pitcher of buttermilk initially at 27°C is to be cooled by settling in on a place where the…

A: At time t=0 minutes, temperature of buttermilk = 270C   At time t=20 minutes, temperature of…

Q: If a ball is thrown vertically upward with a velocity of 15 m/s, then its height after t seconds is…

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Q: A stone weighing 1/2 lb is thrown upward from an initial height of 5 ft with an initial speed of 32…

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