Provide me the accurate evolution of the following problem-
Problem 1-A golf ball rolls off a horizontal cliff with an initial speed of 14.0 m/s. The ball falls a vertical distance of 12.7 m into a lake below.
Part 1- How much time does the ball spend in the air?
Part 2- What is the speed v of the ball just before it strikes the water?
Problem 2- A rocket is fired at a speed of 85.0 m/s from ground level, at an angle of 38.0 ° above the horizontal. The rocket is fired toward a 13.0-m high wall, which is located 25.0 m away. The rocket attains its launch speed in a negligibly short period of time, after which its engines shut down and the rocket coasts. By how much does the rocket clear the top of the wall?
Problem 3- An airplane with a speed of 72.7 m/s is climbing upward at an angle of 73.4 ° with respect to the horizontal. When the plane's altitude is 560 m, the pilot releases a package.
Part 1- Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth.
Part 2- Relative to the ground, determine the angle of the velocity vector of the package just before impact.
You need help to solve the above problems.