A spring is pulled back 4cm below its equilibrium point and then released. If the spring has a period of 3 seconds, which of the following models the position of this spring after t seconds? Select one: O a. s(t)– 3sin ) O . s(t) = - 3cos2:) s(t) = - 4sin 2T s(t) = -4cos

Q: s(t) = 2t3 - 3t2. The position, s (in metres), of a particle at t seconds is given by What is its…

A: This is question of derivative.. Derivative of s(t) is v(t). And derivative of v(t) is a(t)... And…

Q: A 36 lb weight stretches a spring 6 feet. The weight hangs vertically from the spring and a damping…

A:

Q: In the graph shown below, f(x) = x° +x2 - 6x and g(x) = 6x. Find the area of the shaded regions. 343…

A: Since you have posted multiple question. I supposed to do only first question as our company…

Q: A hollow steel ball weighing 4 pounds is suspended from a spring. This stretches the spring feet.…

A:

Q: A vertical spring without damping has a constant k=36N/m. the superior birder is not moving and the…

A: The given problem is to formulate the mass spring problem from given values and conditions and…

Q: 2. Solve dx2 d²y for x = u? + 1 and y = 3u3 – 3u in terms of the parameter u. -

A: Given query is to find indicated derivative.

Q: 8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from…

A: A mass of weight  pound is stretches a spring  feet.The mass is initially released from rest from a…

Q: When does the particle stand still for more than an instant?

A: Given: The graph of Velocity function:

Q: 8. Suppose that the position of a particle at time t is given by c(t) = (2t - 1, t³/2). Compute the…

A: Suppose that the position of a particle at time t is given by  ct=2t-1, t32. To compute the distance…

Q: This is a differntial equations problem. A mass weighing 8 lb stretches a spring 2ft. Assume there…

A:

Q: Given the acceleration of a particle is a(t) = . If the initial velocity is v(0) =, and the initial…

A:

Q: Letting y₁ (t) = 0(t) and y2(t) = 0'(t) = y₁ (t), show that equation (1) can be written as a system…

A:

Q: You are given acceleration, initial velocity and initial position. a(t) = ( 4t? + t, 2, – 5t + 0)…

A: a→t=4t2+t, 2, -5t+0 Integrating with respect to t, we get v→t=∫a→t dt=∫4t2+t dt  , ∫2 dt  ,  ∫-5t…

Q: The particle is observed in its original position with initial velocity of 3 meters per second. It…

A: Given: a=t+12t-1 ⇒a=t3+t+2t2-t2-1-2t ⇒a=t3+t2-t-1 Since, a=dvdt

Q: Differentiate. g(t) =  5 − 7t 8t + 9 g′(t) =

A: solution: the objective is to find the derivative of the given function

Q: U= Find values of u, a, b, and C so that a = [³ In(+³) t b= dt = cb a Cu Cu du. C =

A:

Q: When does the particle move at its greatest speed?

A: From the given graph it is clear that in the interval [1,2] v is negative and decreases also in this…

Q: Show that y1(t) = cos(3t) and y2(t) = sin(3t) are linearly independent for all t

A:

Q: A particle is moving according to the given acceleration function a(t) = 12t2 + 6t − 6. If s(0) = 4,…

A:

Q: ('. frictionless spring with a 7-kg mass can be held stretched 0.2 meters beyond its natural length…

A:

Q: 4. A spring with a mass of 3 kg has damping constant 30 and spring constant 123. (a) Find the…

A: Mass m=3 kg Dumping constant c=30 Spring constant k=123 At t=0 it starts from initial velocity2 m/s…

Q: 2. Consider the model: Y, =0.2Y+e,+0.4e. Find the autocorrelation function p, for k=1,2,3.

A: We are required to find autocorrelation function(acf) of an ARMA model.