Part III: Multi-part Problem Instructions: Show your work for each question. Follow the Problem Solving Techniques to neatly answer the entire question (i.e., make sure you label your coordinate axis frame). Use SI Units unless otherwise indicated. Each question is worth 60 points. 14. Two planetary explorers land on an uncharted planet and decide to test the range of a cannon they brought along. When they drop the cannonball from rest, it falls straight down to the ground. When they fire the cannonball with a speed of 100 m/s at an angle of 25 from the horizontal ground, they find that the cannonball follows a parabolic path and takes 10 seconds to return to the ground (i.e., it takes 5 seconds to reach the maximum height and 5 seconds to return to ground). Trig Hints: sin(250) = 0.4226 cos(250) = 0.9063 131 = 100 - 250 C(if unknown write "UNK"). 14b. Identify the initial conditions, final conditions, and maximum height conditions Initial Conditions Final Conditions x. = 0m (ti) yo = 0m (+j) X f = . If = Vox = Voy = Uf , x = Vfy = dox = doy = af,x = do,x afy = do ,y to = tf = Maximum Height Conditions *h-max = yh-max = Un-max,x = Un-maxy = an -max,x = do,x an -maxy = do,y th-max = 14c. Calculate the acceleration due to gravity, (gplanet = do,y), on this uncharted planet. 14d. Determine the maximum height, (Un-max), above the level ground the cannonball reaches.14e. One of the astronauts who just took PES 1010-002 exclaims that the cannonball "must have landed over a mile away!" Is the astronaut right? Justify your answer (Conversion Factor Hint: 1 mile = 1609.34 m)