One of the tasks of the Mighty Hercules was to protect the town of Nemea from a lion.  One day Hercules sees the lion 320 feet away.  He strings his bow and lets an arrow fly.  The arrow leaves his bow travelling at 210 feet per second from a height of 6 feet.  He wants to hit the lion in the neck above the shoulders which is 4 feet off of the ground.   determine the launch angle that will hit the Lion. Find the right angle.

A hunter spots a duck flying a given distance, h, above the ground (in meters) and shoots at it with his shotgun.  The buckshot leaves the shotgun at an angle equal to 57.7 degrees from the horizontal with a velocity of 105 m/s.  The duck is flying at a speed of 30 m/s in a horizontal direction toward the hunter.  If the hunter shot when the duck was 200 meters away from the hunter and hit the duck, how high was the duck flying?

A kicker on the football field kicked the ball with a velocity of 14.8 m/s at an angle of 33° to the horizontal. How far from the kicker did the ball land?

A car is 3.0 km west of a traffic light at t = 0 and 7.0 km east of the light at t = 8.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) what are the car’s position vectors at these two times? (b) what is the car’s displacement between 0 min and 6.0 min?

Daily Commissions. Ganyu used her charged attack to shoot an arrow hitting a hilichurl tower a certain distance away from her. Assuming there is no air resistance and the arrow hits the tower at the same height as the launch point, if the tower is 50.0 [m] away from Ganyu and the arrow has an initial velocity of 24.0 [m/s], at what angle did Ganyu launch the arrow? O 0.509° O 1.02° O 29.2° O 58.4°

A driver leaves a 3 m board on a trajectory that takes her 2.5 m above the board and then into the Water 2.8 m horizontally from the end of the board. At what speed and angle did she leave the board?

A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?

A soccer ball is kicked at a speed of 30.0 m/s at an angle of 43.0 degrees above the horizontal. The ball is in the air for 3.70 s.What is the difference in height between where the ball was kicked and where it lands?

A skateboarder shoots off a ramp with a velocity of 6.7 m/s, directed at an angle of 59° above the horizontal. The end of the ramp is 1.2 m above the ground. Let the x axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point on the ground directly below the top of the ramp. (a) How high above the ground is the highest point that the skateboarder reaches? (b) When the skateboarder reaches the highest point, how far is this point horizontally from the end of the ramp?

What is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed of 58 m/s?