List the known information:

Use the kinematic equation
.
Plug in the given values:

This would be 35.064 m/s downward, or 35 m/s downward with significant figures taken into account.
The peak wavelength of Betelgeuse is 828 nm
Explanation:
The relationship between surface temperature and peak wavelength of a star is given by Wien's displacement law:

where
is the peak wavelength
T is the surface temperature
is Wien's constant
For Betelgeuse, the surface temperature is approximately
T = 3500 K
Therefore, its peak wavelength is:

Learn more about wavelength:
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4 blue = 3 white
x blue = 12 white?

Cross multiply
48 = 3x
x = 16 blue
Another way to do this is figure how many times 3 whites go into 12 whites.
That's 4 times.
So 4 blue x 4 = 16 blue
Answer:
Explanation:
Given equation is ,
x =t + 2 t³ ,
dx/dt = velocity ( v ) = 1 + 6 t²
a) kinetic energy = 1/2 m v² = .5 x 4 ( 1 + 6 t² )² = 2 ( 1 + 6 t²)²
b ) Acceleration = dv /dt = 12 t .
force( F ) = mass x acceleration = 4 x 12 t = 48 t
Power = force x velocity = 48 t x ( 1 + 6 t²). = 48 t + 288 t³ )
work done = ∫ F dx =∫ 48 t x( 1 + 6t² )dt ; = [48t²/2 + 48 x 6 x t³ /3 = 24 t² + 96 t³ )]₀² = 864 J