Chapter 14.3, Problem 39E

Solving equations of motion Given an acceleration vector, initial velocity 〈u₀, v₀〉, and initial position 〈x₀, y₀〉, find the velocity and position vectors, for t ≥ 0.

35. a(t) = 〈cos t, 2 sin t〉, 〈u₀, v₀〉 = 〈0, 1〉, 〈x₀, y₀〉 = 〈1, 0〉