Components connected in series are connected along a single path, so the same current flows through all of the components. If the light bulbs are connected in parallel, the currents through the light bulbs combine to form the current in the battery, while the voltage drop is across each bulb and they all glow.
Answer:
The value is ![x = 11.81 \ m](https://tex.z-dn.net/?f=x%20%3D%2011.81%20%5C%20m)
Explanation:
From the question we are told that
The height is h = 2.0 m
The height of the window is ![d = 9.0 \ m](https://tex.z-dn.net/?f=d%20%3D%209.0%20%5C%20m)
The initial velocity of the rock is ![u = 20 \ m/s](https://tex.z-dn.net/?f=u%20%3D%20%2020%20%5C%20m%2Fs)
The angle at which it is thrown is ![\theta = 40](https://tex.z-dn.net/?f=%5Ctheta%20%20%3D%20%2040)
Generally the vertical component of the velocity of the stone is mathematically represented as
![v_y = 20 sin (40)](https://tex.z-dn.net/?f=v_y%20%3D%2020%20sin%20%2840%29)
=>![v_y = 12.86 \ m/s](https://tex.z-dn.net/?f=v_y%20%3D%2012.86%20%5C%20m%2Fs)
Generally the height of the window from the ground is mathematically represented as using kinematic equation as
![d = h + v_yt + \frac{1}{2} gt^2](https://tex.z-dn.net/?f=d%20%3D%20h%20%20%2B%20%20v_yt%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20gt%5E2)
=> ![9 = 2 +12.86 t + \frac{1}{2} * - 9.8 t^2](https://tex.z-dn.net/?f=9%20%3D%202%20%20%2B12.86%20t%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20-%209.8%20t%5E2)
Here g is negative -9.8 m/s^2 because the direction of the stone is against gravity
So
![4.9 t^2 -12.86 t + 7 =0](https://tex.z-dn.net/?f=4.9%20t%5E2%20-12.86%20t%20%2B%207%20%3D0)
Solving this quadratic equation using quadratic formula we obtain
t = 0.770 s
Generally the velocity of the stone on the x axis is mathematically represented as
![v_x = 20 * cos(40 )](https://tex.z-dn.net/?f=v_x%20%3D%20%2020%20%2A%20cos%2840%20%29)
=> ![v_x = 15.32 \ m/s](https://tex.z-dn.net/?f=v_x%20%3D%20%2015.32%20%5C%20%20m%2Fs)
Generally the distance between the person throwing the rock and the window is mathematically represented as
![x = v_x * t](https://tex.z-dn.net/?f=x%20%3D%20%20v_x%20%2A%20t)
=> ![x = 15.32 * 0.771](https://tex.z-dn.net/?f=x%20%3D%20%2015.32%20%2A%200.771)
=> ![x = 11.81 \ m](https://tex.z-dn.net/?f=x%20%3D%2011.81%20%5C%20m)
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