Problem 4-12 - Vector components

A car is travelling along a winding highway at a constant speed of \(82\; km/h.\) At 3:00 p.m., the car is heading \(38.2^\circ\) east of north, and at 3:15 p.m. it is heading \(12.7^\circ\) south of east. Define the \(+x\) and \(+y\) directions to be east and north, respectively. Use Eq. 4-8 to determine the \(x\)- and \(y\)-components of the average acceleration during this time interval. 

We will work in standard units i.e., \(m\) and \(s\) so \(82\; km/hr\) is:

(A)   \(22.8\; m/s\)

(B)   \(295\; m/s\)

(C)   \(82\; m/s\)