Physics

Physics · mechanics

Problem

i. By adjusting the launching angle for a ball thrown with a fixed initial speed

v_{0}

from the origin, targets can be hit within the region given by

z \leq z_{0}-k x^{2}

You can use this fact without proving it. Find the constants

z_{0}

and

k

. Given constants: Problem T1. Focus on sketches Part A. Ballistics A ball, thrown with an initial speed

v_{0}

, moves in a homogeneous gravitational field in the

x-z

plane, where the

x

-axis is horizontal, and the

z

-axis is vertical and antiparallel to the free fall acceleration

g

. Neglect the effect of air drag.