With what initial velocity must an object be thrown upward (from a height of 3 meters) to reach a maximum height of 150 meters? Assume the acceleration of the object is a(t) = 9.8 meters per second per second. (Neglect air resistance.)

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A: When the ball is tossed up, the ball with initial velocity of 12m/s will start decelerating and will…

Q: Suppose the centripetal acceleration of a particle moving in a circle is a = where v is the velocity…

A: Please see the below picture for detailed solution.

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Q: 9. What is the relation between the acceleration a(t) and velocity V(t) at a given time t? [C:2]

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A: The velocity of the object at s = 0 is, v=4s+1=0+1=1 m/s The radial acceleration is, ar=v2r=1 m/s22…

Q: A heavy-duty shock absorber is compressed 2 cm from its equilibrium position by a mass of 500 kg.…

A: Let K be spring constantThen ,Kx2x10-2=500x9.8⇒K=245000 N/m

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A: When any object falls from rest , it means the initial velocity of the rock is 0 m/s . The equation…

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A: (a) The particle is at rest when velocity is zero. And we know velocity V(t) is the derivative of…

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A: To find: The instantaneous velocity at t=2. Given: The acceleration of particle is a=12t2-24t+8.…

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A:

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A: Concept: The acceleration is given by the derivative of the velocity  That is a(t)=dv(t)dt Thus…

Q: With what initial velocity v0 must we fire a rocket so it attains a maximum height r above the…

A: We will use the maximum height formula Where u=initial velocity. g=gravity H_max= maximum height

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Q: A 6.3-kg box is being lifted by means of a light rope that is threaded through a single, light,…

A: h = 1.5 mt = .42 sh = 1/2 * a * t^2====> a = 2h / t^2 = 3 / .1764 = 17.00 m/s^2final velocity, v…

Q: A 0.25-slug mass is attached to a spring and spring is stretched 1.28 ft from its natural length.…

A: Given : A 0.25 mass slug

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Q: 6) A weight oscillates in a vertical motion according to the position function y(f) = -5 cos t.…

A: Acceleration for position function yt=-5cost is d2ydt2. Calculate double derivative d2ydt2 and…

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A: Definition used -                   v=∫adts=∫vdt

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A: Consider the position function To calculate the instantaneous velocity

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A: To determine the velocity of the object.

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A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: ) Suppose that the acceleration function of a particle moving along a coordinate line is a(t) = t –…

A: a)Givena(t) = t - 3Now average acceleration is given by ∫aba(t)dtb-aHere a=0 and…

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Q: On a different planet, an object is thrown straight upward at an initial speed of 13 m/s and its…

A: We have to integrate the given acceleration function to find the velocity function.  At max. height,…

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A: Since you have posted multiple questions but according to guidelines, we will solve the first…

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A: We have to find out, Critical value in appropriate hypothesis test.

Q: A runner starts from rest and accelerates at 2 m/s?. Assuming constant acceleration for the entire…

A: Given that a runner starts from rest and accelerates at  2 m/s2. And the acceleration is constant…

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

A: A 2‐lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32…

Q: Calculate the acceleration at t=6 min using

A: Given, the data

Q: When Apollo 15 astronaut David Scott dropped a hammer and a feather on the moon to demonstrate that…

A: An astronaut dropped a hammer and feather on the moon.These are dropped from about 4 ft above the…

Q: Suppose the centripetal acceleration of a particle moving in a circle is a = where v is the velocity…

A: a = v2/r find the error in acceleration  in velocity error given = 4% radius error = 2% error…

Q: Determine the magnitude and direction of velocities of 3 m/s at 18° and 7 m/s at 115° when acting…

A: Solution

Q: A frictionless spring with a 4-kg mass can be held stretched 2 meters beyond its natural length by a…

A: From the given information, m=4 kg, k=1002 Nm. Let xt represents the position of the mass at time t,…

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A: Acceleration function of an object moving along a line iss given as a(t) = 0.2 t Integrate both…

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Q: What is the position at time t of a car that is accelerating at a rate of 5 meters per second…

A: To determine the position of the car from the given data. (note that s =20 when t=2, not as given)

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A: Given: v(t)=t2ln(t+2)we know that acceleration of particle is differentiation of velocity of…

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A: Integrate the expression a(t)=2t-7 to find the velocity of the particle.…

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

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Q: A ball is thrown upward from a height of 1.5 m at an initial speed of 45 m/sec. Acceleration…

A: Given that the initial speed=v0=45Initial height=h0=1.5Acceleration=a=-9.8So using the relation…

Q: A spring is stretched 12 inches by a 24-pound weight. If the weight is pulled 10 inches below the…

A: