Find the orthogonal projection of onto the subspace W of R³ spanned by projw() = 4 6 V= 19 16 and -5

As I was driving along the highway to Cleveland, I noticed a speedometer check along the side of the road with posted signs 1 mile apart. I timed us and found that it took us 5 minutes and 45 seconds to travel 5 miles. We had the car set on cruise control, so we were traveling at a constant speed. A while later we passed a sign that said “Akron 76 miles.” At that speed, how long did it take us to drive those 76 miles to Akron? (Convert your decimal answer to an equivalent number of hours, minutes, and seconds. For example, 7.104 hours = 7 hours 6 minutes 14 seconds.)

Two friends, Sam and Asa, start walking from the same point. Sam walks east at a rate of 3 miles per hour and Asa walks northeast at a rate of 2 miles per hour. How fast is the distance between them changing after 2 hours?