Problem 1) You're on a skateboard on top of the higher platform as shown. You wish to drop to the lower level platform by skating horizontally. It you just want to barely make it to the lower platform. with what minimum speed do you need to leave the higher platform? Take the vertical height of the platform to be h = 2.1m and let the horizontal distance bemeen platforms be 0' = 3m. A soccer player kicks a ball at an angle of 0f 30' above the horizontal oor. The ball leaves the soccer player's feet (it is launched. or projected) at 18 mfs (assume ball leaves from ground level}. a) What is the shape of the ball's trajectory? b) How long does it take the ball to reach maximum elevation? c) What is the maximum elevation of the ball (how far does it rise, maximum height}? d) How long does it take the ball to come back down to the ground (total flight time)? e) What is the range (displacement the ball travels horizontally}? f) it you want the ball to travel as far away as possible, at what angle should the ball be launched? 9) If you want to hit a target the same range away. keeping same launch speed of 30 m/s, what angle should you project the ball