Use the following equation of motion from physics for an object moving in a vertical line and subject only to the force of gravity. where the positive direction is upward:

(10)

http://rogercortesi.com/eqn/tempimagedir/eqn7517.png
where s feet is the height of the object at t seconds , s_o feet is the initial height of the object, and v_0 feet/sec is the object's initial velocity.

21.) A rocket is fired vertically upward from the ground with an initial velocity of 560ft/sec. a.) Use (10) to write the equation of motion of the rocket and simulate the motion b.) Estimate how high the rocket will go and how long it takes the rocket to reach its highest point. c.) Confirm your estimates in part b Analytically. d.) Find the instantaneous velocity of the rocket at 10 sec and 25 sec. e.) Find the speed of the rocket at 10 sec & 25 sec. f.) Find the speed of the rocket when it reaches the ground.