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?

Note: for this problem, you can neglect air resistance.An action hero is trying to use a circus cannon to get to the roof on a building 63.8 meters away. She launches herself from the ground with an initial velocity of 29.4 m/s at an angle 59 degrees above the horizontal, but instead of landing on the roof she hits the wall of the building. launching at a speed of 47.0 m/s. She goes over the building entirely and lands on the ground on the other side.How much time does she spend in the air? What is the height of the action hero at the peak of her trajectory? How far from her launch point will she land?

You are walking around your neighborhood and you see a child on top of a roof of a building kick a soccer ball. The soccer ball is kicked at 35° from the edge of the building with an initial velocity of 17 m/s and lands 55 meters away from the wall. How tall, in meters, is the building that the child is standing on?

A minigolf ball is on a perfectly horizontal surface, x = 2 m away from the center of the hole. There is a small obstacle in the way, so the ball cannot simply roll to the hole –it must go up in the air. The player is able to shoot with an initial speed v0 =  7 m/s. The ball can be launched at TWO possible angles with the horizontal for the ball to get in the hole. We want your to find these two angles.

1. Two projectiles, both with a velocity of 50 m/s, are thrown from the same spot. One of them is thrown with an angle of 60 degrees, and the other one is thrown with an angle of 45 degrees. However, they both land on the same spot on top of a brick wall. How high is the brick wall?

Find the impact velocity of the ball and verify if it is a homerun. Use PARAMETRIC EQUATIONS and make a graph of the trajectory of the ball.

A horizontal rifle is fired at a bull's-eye. The muzzle speed of the bullet is 700 m/s. The gun is pointed directly at the center of the bull's-eye, but the bullet strikes the target 0.021 m below the center. What is the horizontal distance between the end of the rifle and the bull's-eye?

The initial speed of the ball is v0 = 22.2 m/s, the angle the ball is hit at is θ = 43o, and g = 8.4.   How far away does the ball hit the ground?

Two friends are playing catch, indoors, with a baseball, where the ceiling height is 6.15mm. The first friend releases the ball at a height of 3.15mm with a velocity of 21.8m/sm/s, and the second friend catches it at the same height. Neglect the diameter of the baseball. What is the maximum vertical component of the velocity, in meters per second, such that the baseball does not hit the ceiling?

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?