Chapter 14.3, Problem 40E

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.

36. a(t) = 〈e^−t, 1〉, 〈u₀, v₀〉 = 〈1, 0〉, 〈x₀, y₀〉 = 〈0, 0〉