Halliday, Resnick & Walker — Motion in Two and Three Dimensions: Problem 20

20 In Fig. 4-23, particle A moves along the line \(y = 30 \text{ m}\) with a constant velocity \(\vec{v}\) of magnitude \(3.0 \text{ m/s}\) and parallel to the \(x\) axis. At the instant particle A passes the \(y\) axis, particle B leaves the origin with a zero initial speed and a constant acceleration \(\vec{a}\) of magnitude \(0.40 \text{ m/s}^2\). What angle \(\theta\) between \(\vec{a}\) and the positive direction of the \(y\) axis would result in a collision?