Assignment:
Civil War Artillery Piece
We have a mortar which is fired at a 45 deg angle. It has an initial velocity component of 340 ft / sec in both the vertical as well as horizontal directions. We have, then, that our equation of height above ground as a function of time t is
h(t) = -16t2 + 340t
Q1. What is the ordered pair which constitutes the vertex of our parabolic equation h(t)?
Q2. How high will our projectile ascend? How long does the projectile take to gain that maximum height?
Q3. What are the ordered pairs corresponding to the zeros of our parabolic equation h(t)
(solutions to the equation -16t2+340t = 0)?
Q4. How long does it take for our projectile to reach its destination?
Provide complete and step by step solution for the question and show calculations and use formulas.