You have to deliver some \(5.0 \mathrm{~kg}\) packages from your home to two locations. You drive for \(2.0 \mathrm{~h}\) at \(25 \mathrm{mi} / \mathrm{h}\) due east (call this segment 1 of your trip), then turn around and drive due west for \(30 \mathrm{~min}\) at \(20 \mathrm{mi} / \mathrm{h}\) (segment 2). Use a coordinate system with the positive \(x\) axis aimed toward the east and the origin at your home.

(a) What is your position vector at the instant you reach the end of segment 1?

(b) What is your position vector at the instant you reach the end of segment 2?

(c) Calculate your displacement during segment 2.

(d) Calculate your displacement for the whole trip.

(e) What is the distance traveled? ( \(f\) ) Draw to scale the position vectors you found in parts \(a\) and \(b\). (g) Use vector addition to determine the displacement vectors asked for in parts \(c\) and \(d\). Do your results in part \(g\) agree with the values you calculated in parts \(c\) and \(d\) ?