Given that the acceleration vector is a(t)=(−1cos(−t),−1sin(−t),2t)a(t)=( −1cos⁡(−t),−1sin⁡(−t),2t), the initial velocity is v(0)=(1,0,1)v(0)=(1,0,1), and the initial position vector is r(0)=(1,1,1)r(0)=(1,1,1), Compute:a. The Velocity Vector v(t): _ i + _ j +_kb. The position vector r(t): _i + _ j + _k

Asolid round steel rod 6.25 mm in diameter and 375 mm long is rigidly bonded to the end of solid square brass rod 25 mm on a side and 300 mm long. the geometric axes of the bare are along the same line. an axial tensile force of 5.4 kn is applied at the extreme ends of the assembly. for steel e = 200 gpa and for brass e = 90 gpa. determine the total elongation for the assembly.