Q1. A cylindrical section of a tree trunk 50cm in diameter and 75cm long is seen rolling at a speed of 12m/s down a sloping road below a sawmill. (Wood has a density of 750 kg/m3.) assume that the road has an incline of 5 percent (meaning that if you travel 100 m along the road, you go up or down by 5 m), as a minimum how far up the road is the sawmill? Explain any assumptions or approximations that you make.
Q2. Runner A is initially 6.80 km west of a flagpole and is running with a constant velocity of 2.6 km/h due east. Runner B is at first 3.80 km east of the flagpole and is running with a constant velocity of 8.20 km/h due west. What will be the distance of two runners from the flagpole when their paths cross?