A nerf dart has been fired at Mr. H by a disgruntled student who was lying on the floor waiting to ambush Mr. H. upon his return after receiving a negative COVID test. The dart was fired with a velocity of 12m/s at an angle of 15 degrees above the horizontal. (Assume no air friction)

a. What are the vertical and horizontal components of the initial velocity? (2)

b. How long is the dart in the air? (1)

c. How far away from the shooter will the ball land? (1)

d. To what maximum height will the ball rise? (Could it hit Mr. Hartzke in the eye, assuming his eye level is 1.75m above the ground?) (1)

e. With what velocity will the dart land assuming poor aim, and the dart lands without hitting Mr. H.? (1)