1.- A project is fired from the top of a wall 75.0 m high, with a speed initial speed of 45.0 m/s and at an angle of 40 with respect to the horizontal. a) Make a diagram of the situation, where you can see the coordinate system and the quantities described. Then calculate: b) The vertical and horizontal components of the initial velocity. c) The time of flight of the projectile. d) Its horizontal range. e) The maximum height it reaches.

2.- There is a shuttle for tennis balls, which launches the balls with an initial speed of 17 m/s, with an elevation angle of 63 and the height of the shuttle is 0.5 m, it is placed the shuttle at the end of the tennis court that has a regulation length of 78 ft m and the height of the net is 3 ft. a) Determine the maximum range of the shuttle (tennis ball hits the ground) and the maximum height of the ball. b) If a tennis player is at the other end of the court at what height should he hit the ball?

3.- The crew member of a hot air balloon, which rises vertically with a constant speed of magnitude 5.00 m/s, drops a sandbag when the balloon is 40.0 m above the ground. After it is released, the bag is in free fall. a) Determine the position and velocity of the bag at 0.25 s and 1.00 s after it is released. b) How many seconds will it take for the bag to hit the ground after being released? c) How fast will it hit the ground? d) What is the maximum height reached by the bag above the ground?

4.- According to the Guiness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor league game. The ball traveled 188m before hitting the ground outside the park. Assuming the ball's initial velocity was 45 above the horizontal and ignoring air resistance: a) What will be the initial speed of the ball if it is hit at a point 0.9 m above the ground? Assume the ground is perfectly flat. b) How long was the ball in the air? c) At what height will the ball have passed over a 3.0 m fence located 116 m from the batsman? d) What is the velocity vector of the ball 2.0 s after being hit?

i need the development about those four exercises.. Please, you explain step by step.