1. The problem statement, all variables and given/known data a motorist drives south at 20 m/s for 3 min, then turns west and travels west at 25m/s for 2 min, and finally travels n/w at 30 m/s for 1 min. for this 6 minute trip, find the net vector displacement 2. Relevant equations 3. The attempt at a solution distance 1: 20m/s * 3min * 60s/min = 3600m south distance 2: 25m/s * 2.6min * 60s/min = 3900m west distance 3: 30m/s * 1min * 60s/min * cos45 = 1273m west ................ 30m/s * 1min * 60s/min * sin45 = 1273m north My real problem is why we assumed the angle is 45 degrees? Why did we dissect the 90 degree angle in half for the north west if it doesnt tell us in the problem?
It says that it travels n/w = northwest, which means half-way between North and West. That's where the 45 degrees comes in.
In the problem statement it says "travels west at 25m/s for 2 min" yet in your attempt at a solution you change it to 2.6 min. Why?