Answer:
![-31.1 m/s^2](https://tex.z-dn.net/?f=-31.1%20m%2Fs%5E2)
Explanation:
The acceleration of an object is the rate of change of velocity of the object.
Mathematically, it is calculated as:
![a=\frac{v-u}{t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv-u%7D%7Bt%7D)
where
u is the initial velocity
v is the final velocity
t is the time taken for the velocity to change from u to v
Acceleration is a vector, so it is important to also take into account the direction of the velocity.
For the particle in this problem, we have:
u = +48 m/s is the initial velocity (positive direction)
v = -92 m/s is the final velocity (negative direction)
t = 4.5 s is the time interval
Therefore, the average acceleration is
![a=\frac{v-u}{t}=\frac{-92-(+48)}{4.5}=-31.1 m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bv-u%7D%7Bt%7D%3D%5Cfrac%7B-92-%28%2B48%29%7D%7B4.5%7D%3D-31.1%20m%2Fs%5E2)
I’m pretty sure u have it right
Answer:
14869817.395 m
Explanation:
=22 microarcsecond
λ = Wavelength = 1.3 mm
Converting to radians we get
![22\times 10^{-6}\frac{\pi}{180\times 3600}\ radians](https://tex.z-dn.net/?f=22%5Ctimes%2010%5E%7B-6%7D%5Cfrac%7B%5Cpi%7D%7B180%5Ctimes%203600%7D%5C%20radians)
From Rayleigh Criterion
![\theta=1.22\frac{\lambda}{D}\\\Rightarrow D=1.22\frac{\lambda}{\theta}\\\Rightarrow D=1.22\frac{1.3\times 10^{-3}}{22\times 10^{-6}\frac{\pi}{180\times 3600}}\\\Rightarrow D=14869817.395\ m](https://tex.z-dn.net/?f=%5Ctheta%3D1.22%5Cfrac%7B%5Clambda%7D%7BD%7D%5C%5C%5CRightarrow%20D%3D1.22%5Cfrac%7B%5Clambda%7D%7B%5Ctheta%7D%5C%5C%5CRightarrow%20D%3D1.22%5Cfrac%7B1.3%5Ctimes%2010%5E%7B-3%7D%7D%7B22%5Ctimes%2010%5E%7B-6%7D%5Cfrac%7B%5Cpi%7D%7B180%5Ctimes%203600%7D%7D%5C%5C%5CRightarrow%20D%3D14869817.395%5C%20m)
Diameter of the effective primary objective is 14869817.395 m
It is not possible to build one telescope with a diameter of 14869817.395 m. But, we need this type of telescope. So, astronomers use an array of radio telescopes to achieve a virtual diameter in order to observe objects that are the size of supermassive black hole's event horizon.
Answer:
Explanation:
28 / 70 = 0.3857142... = 0.39 hr
280 / 100 = 2.8 hrs.
(100 - 0) / 10 = 10 m/s²
(60 - 20) / 4 = 10 m/s²