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I got the first part right and found C but idk how to find the angle A particle

ID: 2114577 • Letter: I

Question

I got the first part right and found C but idk how to find the angle

A particle moves on the positive x axis (x > 0). A force F(x) = + k / x2 pushes the particle to larger x. Note that the force decreases to 0 as times approaches infinity. Suppose the initial conditions at t = 0 are x(0) = x0 and (dx/dt)0 = 0. Solve for the motion of the particle. Calculate the velocity in the limit that t approaches infinity. [Data: m = 0.58 kg; k = 1.59 Nm2; x0 = 1.6 m] 1.851 m/s You are correct. Previous Tries Your receipt no. is 150-9861 Calculate the time t when v is equal to 0.50 v(infinity). [Hint: The position (x) and time (t) can be related by parametric equations x = x0 cosh2 theta = (x0/2){cosh2 theta + 1} and t = C {sinh2 theta + 2 theta } where C is a constant, which you will need to determine.]

Explanation / Answer

b) Vf =0.5*Vf


= 0.5*1.851 =0.9255


Vf = v+at


t =Vf-v/a