1. Suppose a projectile is launched vertically from a height of 20 feet and projectile reaches a maximum height of 5796 feet. Determine the initial velocity of the projectile?

2.Suppose a projectile is fired vertically, from the surface of the earth, with an intial velocity of 460 meters per second. Determine the maximum height of the projectile. Round the solution to the nearest integer, if necessary. The maximum height of the projectile is __________________ meters. On what interval(s) is the projectile's speed decreasing? Enter the solution using interval notation with time values rounded to the nearest tenth of a second. The projectiles speed is decreasing over time ______________ On what interval(s) is the projectile's speed increasing? Enter the solution using interval notation with time values rounded to the nearest tenth of a second. The projectiles speed is increasing over time______________

3. The position of a free-falling object is given by S(t)=(g/2)t^2+v0t+S0 where g represents acceleration due to gravity, V0 represents the initial velocity of the object, and S0 represents the initial position of the object. Suppose an alien, standing on the edge of a platform 343 meters above the surface of Venus (where g=-8.87 meters per second squared), launches a rock straight upward, with a speed of 95 meters per second. Determine the velocity of the rock when the rock is 725 meters above the surface of Venus. Round solutions to the nearest thousandth, if necessary. At 725 meters above the surface on its upward trajectory, the rock's velocity is Select an answer meters per second meters per second squared meters At 725 meters above the surface on its downward trajectory, the rock's velocity is