The formula for height (in feet) of a projectile under the influence of gravity is given by ℎ = − + + where = (in seconds), is the upward initial velocity (at = 0), and is the starting/initial height. 2) imagine, you are throwing tennis ball at a kite that is stuck 42 feet up in a tree, trying to knock it loose. you can throw the ball at a velocity of 45 feet per second upward at a height of 4 feet. will you throw read the kite? how hard do you need to throw ball to reach the kite? explain your answer using equations, solutions, and graphs.

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.)