A human cannonball is to be fired with an initial speed of 80 ft/s. The circus performer hopes to land on a cushion located 180 feet downrange at the same height as the muzzle of the cannon. The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle. Can the performer be fired to the cushion without striking the ceiling? If so, what is the proper firing angle? g = 32 ft/sec^2.

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Step-by-step explanation:

Given that;

initial speed of 80 ft/s.

The circus performer hopes to land on a cushion located 180 feet downrange at the same height as the muzzle of the cannon.

The circus is being held in a large room with a flat ceiling 30 feet higher than the muzzle.

Can the performer be fired to the cushion without striking the ceiling If so, what is the proper firing angle. g = 32 ft/sec^2.

See attavhed documents for further step by step answers.

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: