For all calculations, show all work and explain. Also, use g = 9.81 m/s² for all questions.

1. An object is launched horizontally from a height of 14.0 meters. It lands 32.1 meters from the launch pad.
   1. Calculate the initial speed in which the object was launched.
   2. Calculate the time it takes for the object to hit the ground.
   3. Calculate the initial launch velocity of this projectile.
2. An object is launched at a 38 angle from the ground. It lands 61.82 meters from the launch pad. The entire travel time was 3.14 seconds.
   1. Calculate the initial speed in which the object was launched.
   2. Calculate the horizontal component of the launch velocity.
   3. Calculate the vertical component of the launch velocity.
   4. Use both components to calculate the initial launch velocity.
3. An object is launched from the ground with a speed of 18 m/s at an angle of 50 .
   1. Calculate the maximum height the projectile reaches.
   2. Calculate the range of the projectile.