Chapter 14, Problem 32RE

Solving equations of motion Given an acceleration vector, initial velocity $\langle u_0,v_0\rangle$, and initial position $\langle x_0,y_0\rangle$, find the velocity and position vectors for t ≥ 0.

32. $a\left(t\right)=\langle 1,4\rangle ,\langle u_0,v_0\rangle =\langle 4,3\rangle ,\langle x_0,y_0\rangle =\langle 0,2\rangle$