a. the maximum height is 16ft and the time is 1 second.
b. the ball stay in the air for 2 seconds
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
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Step-by-step explanation:
A sample of mercury-conductor
A piece of glass-insulator
A rubber hose-insulator
A negatively ionized lithium paste-conductor
<u>Step-by-step explanation:</u>
Conductors are substances that allow the flow electricity through them whereas insulators do not permit the flow of electricity through them.
Mercury is a liquid metal and due to its metallic nature, it is a fair conductor of electricity because metals have free electrons that carry the electric charge through the material.
Rubber and glass are insulators whereas a negatively charged lithium paste is a conductor.
Answer:
It is about a 13% chance you will pick a "Green marble"
Step-by-step explanation: