This question is a short free-response question. Show your work for each part of the question. Robot M H Target: 4 Points -+X O 1 Point Zone : 2 Point Zone i 3 Point Zone : 2 Point Zone : 1 Point Zone x =0 x =5 X = D x = 30 x = 20 A group of students prepare for a robotic competition and build a robot that can launch large spheres of mass M in the horizontal direction with a variable speed and from a variable vertical position and a fixed horizontal position I = 0. The robot is calibrated by adjusting the speed at which the sphere is launched and the height of the robot's sphere launcher. Depending on where the spheres land on the ground, students earn points based on the accuracy of the robot. The robot is calibrated so that when the spheres are launched from a vertical position y = H and speed up, they consistently land on the ground on a target that is at a position I = D. Positive directions for vector quantities are indicated in the figure. (a) On the axes below, sketch the graphs of the horizontal and vertical components of the sphere's velocity was a function of time & between t = 0, when the sphere is launched and t = T, when the sphere hits the target. Label t = T for the horizontal component of the sphere's velocity and the vertical component of the sphere's velocity. Horizontal Component of Sphere's Velocity Vertical Component of Sphere's Velocity BIUXXOCOBED 0 / 10000 Word Limit When the students arrive at the competition, it is determined that the height of the sphere launcher can no longer be adjusted due to a mechanical malfunction. Therefore, the spheres must be launched at a vertical position of y = . However, the spheres may be launched at speed up or 2vo- (b) In a clear, coherent paragraph-length response that may also contain diagrams and/or equations, describe the speed at which a sphere should be launched so that the students earn the maximum number of points in the competition. B 0 / 10000 Word Limit\f