An object of mass m moving in a viscous medium with resistive force that is proportional to velocity -Rv which satisfies the differential equation below: dv dt where m = 2kg , R = 1.2 Ns/m and initial velocity is 100m/s. (a) Find its particular solution. (c) Complete the data in Table 1. Table 1: The velocity of object as a function of time. t (s) Exact velocity Estimate velocity 0.01 0.02 100 99.4000 98.8036 0.03 0.04 98.2108 97.6215 0.05 0.06 0.07 0.08 0.09 97.0358 96.4536 95.8748 95.2996 94.7278 0.1 94.1504 Question 2 Solve the initial value problem 0.2 4x + 1.2 dt + 2x = 5cos4t dt2 Where x(0) = and x'(0) = 0