1985M1. A projectile is launched from the top of a cliff above level ground. At launch the projectile is 35 meters above the base of the cliff and has a velocity of 50 meters per second at an angle 37∘ with the horizontal. Air resistance is negligible. Consider the following two cases and use g=10m/s2,sin37∘=0.60, and cos37∘= 0.80.
Case I: The projectile follows the path shown by the curved line in the following diagram.
a. Calculate the total time from launch until the projectile hits the ground at point C .
b. Calculate the horizontal distance R that the projectile travels before it hits the ground.
c. Calculate the speed of the projectile at points A,B and C .
Case II: A small internal charge explodes at point B in the above diagram, causing the projectile to separate into two parts of masses 6 kilograms and 10 kilograms. The explosive force on each part is horizontal and in the plane of the trajectory. The 6-kilogram mass strikes the ground at point D , located 30 meters beyond point C , where the projectile would have landed had it not exploded The 10-kilogram mass strikes the ground at point E.
d. Calculate the distance x from C to E.