\"v vuuauuv \"ray\". Physics of a Basketball An object that is launched in the air under the inuence of Earth's gravita- tional pull can be expressed as a parabolic equation whose height is represented by the equation h(t) = 4.9t2 + not + ho We make note that the variables on represent an initial velocity while ho represents the initial height. After carefully measuring at different points in time a diligent student in Physics records a basketball thrown by a basketball player into a hoop. The student then writes down height at certain points in time. -nn height (meters) 1. Based on the data that the student has recorded, determine the values for initial velocity, on and height, ho. At what time does the ball reach maximum height? You may use a graph to nd the answer, but show a plot in the solution. 2. The standard height of a basketball hoop is about 3.05 meters. Knowing ho as the height of the basketball player in meters, determine how far the basketball player is standing when the angle between the player and the hooP is 54 to make the perfect shot. The ball makes the hoop after approximately 3.6 seconds. The basketball player makes a straight line of sight to the h00p from the player's standing position