147.09975 newton meters per second
Answer:
this is just a guess bc i only looked at it for 5 seconds but i think 150 m/s
Answer:
θ = θ₀ + ½ w₀ (t -t_1) + α (t -t_1)²
Explanation:
This is an angular kinematic exercise the equation for the angular position
the particle A
θ = θ₀ + ω₀ t + ½ α t²
They say for the particle B
w₀B = ½ w₀
αB = 2 α
In addition, the particle begins at a time t_1 after particle A, in order to use the same timer, we must subtract this time from the initial
t´ = t - t_1
l
et's write the equation of particle B
θ = θ₀ + w₀B t´ + ½ αB t´2
replace
θ = θ₀ + ½ w₀ (t -t_1) + ½ 2α (t -t_1)²
θ = θ₀ + ½ w₀ (t -t_1) + α (t -t_1)²
The properties that change how we perceive light waves are the following:
The amplitude of the light wave changes the brightness of light relative to other light waves of the same wavelenghth.
The frequency of the light wave changes the color and the type of the light wave.
Answer
a) For the rock
![\dfrac{v_t^2sin 2\theta}{g} = \dfrac{v_t^2sin^2\theta}{2g}](https://tex.z-dn.net/?f=%5Cdfrac%7Bv_t%5E2sin%202%5Ctheta%7D%7Bg%7D%20%3D%20%5Cdfrac%7Bv_t%5E2sin%5E2%5Ctheta%7D%7B2g%7D)
![2sin\thetacos\theta = \dfrac{sin^2\theta}{2}](https://tex.z-dn.net/?f=2sin%5Cthetacos%5Ctheta%20%3D%20%5Cdfrac%7Bsin%5E2%5Ctheta%7D%7B2%7D)
![2cos\theta = \dfrac{sin\theta}{2}](https://tex.z-dn.net/?f=2cos%5Ctheta%20%3D%20%5Cdfrac%7Bsin%5Ctheta%7D%7B2%7D)
![tan\theta = 4](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%204)
![\theta = tan^{-1} 4](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20tan%5E%7B-1%7D%204)
![\theta = 76^0](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2076%5E0)
b)
for maximum range
![\dfrac{d_{max}}{d}=\dfrac{(v_tcos 45^0)(2v_tsin 45^0)g}{(v_tcos 76^0)(2v_tsin 76^0)g}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd_%7Bmax%7D%7D%7Bd%7D%3D%5Cdfrac%7B%28v_tcos%2045%5E0%29%282v_tsin%2045%5E0%29g%7D%7B%28v_tcos%2076%5E0%29%282v_tsin%2076%5E0%29g%7D)
![\dfrac{d_{max}}{d}=\dfrac{0.707\times 0.707)}{0.97\times 0.242}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd_%7Bmax%7D%7D%7Bd%7D%3D%5Cdfrac%7B0.707%5Ctimes%200.707%29%7D%7B0.97%5Ctimes%200.242%7D)
![\dfrac{d_{max}}{d}=2.129](https://tex.z-dn.net/?f=%5Cdfrac%7Bd_%7Bmax%7D%7D%7Bd%7D%3D2.129)
![d_{max}=2.129 d](https://tex.z-dn.net/?f=d_%7Bmax%7D%3D2.129%20d)
c) The value of θ is the same on every planet as g divides out.