Consider a projectile being launched with an initial speed of 49.5 m/s at a variety of initial angles. Refer to the figure. Part (a) What is the range, in meters, of the projectile if it is launched at an angle of θ1 = 70.6°? b. What is the range, in meters, of the projectile if it is launched at an angle of θ2 = 38°? c. What is the range, in meters, of the projectile if it is launched at an angle of θ3 = 90 − 70.6°, the complement of θ1?

A boy is standing from the top of a cliff 8 m from the ground and he has a bow which is aimed 40 degrees from the horizontal. He can release the bow with an initial velocity of 15 m/s. An animal is below the cliff and is moving towards the boy at a velocity of 5 m/s. For the bow to hit the animal, at what distance D should the animal be when the bow is fired?

A friend of yours has a one story house with a pool in the backyard. Someone gets the bright idea to jump from the roof of the house into the deep end of the pool. a) If the roof of the house is 16 ft tall and the horizontal distance between the edge of the house and the pool is 10 ft, what would the jumper's minimum velocity need to be to land in the pool? b) Let's assume your friend can jump with an initial horizontal velocity of 15 ft/s. What is their total velocity when they hit the water? (hint: determine both the x and y velocity components, find the resultant)