1. When Tiger Woods drives a 46 g golf ball, he tries to hit it at a maximum height of 30 m. What is the initial speed of the ball when he hits it off the tee if, at the top of its path, it is traveling at 77.17 m/s? 2. A roller coaster with a mass of 1,400 kg is being pulled up a hill by a force of 20,000 N along a distance of 6om. What is the speed of the roller coaster after it has fallen back down to the bottom of the hill (h=0 at the bottom)?​

How do i solve this physics problem?

What are the differences and relationships between speed, velocity, and acceleration

Lake happy times contains 100 km3 of pure water. it is fed by a river at a rate of 50 km3/yr. at time zero, there is a factory on one shore of lake happy times that begins introducing a pollutant to the lake at a rate of 2km3/yr. there is another river that is fed by lake happy times at a rate that keeps the volume of lake happy times constant. this means that the rate of flow from lake happy times into the outlet river is 52km3/yr. in turn, the flow from this outlet river goes into another lake, lake sad times, at an equal rate. finally, there is an outlet river from lake sad times flowing at a rate that keeps the volume of lake sad times at a constant 100 km3 . (a) find the amount of pollutant in lake sad times at the end of 3 months. (b) at the end of 3 months, observers close the factory due to environmental concerns and no further pollu- tant enters lake happy times. how long will it take for the pollutant in lake sad times (found in part (a)) to be cut in half?