Tina is training for a biathlon. to train for the running portion of the race, she runs 9 miles each day over the same course. the first 4 miles of the course is on level ground, while the last 5 miles is downhill. she runs 2 miles per hour slower on level ground than she runs downhill. if the complete course takes 1 hour, how fast does she run on the downhill part of the course?

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)