Answer:
![t_1 = \frac{v_i}{a_i}](https://tex.z-dn.net/?f=%20t_1%20%3D%20%5Cfrac%7Bv_i%7D%7Ba_i%7D)
![t_2 = \frac{v_i}{a_i}](https://tex.z-dn.net/?f=%20t_2%20%3D%20%5Cfrac%7Bv_i%7D%7Ba_i%7D)
Δd = ![v_it_1 = v_i^2/a_i](https://tex.z-dn.net/?f=%20v_it_1%20%3D%20v_i%5E2%2Fa_i)
Explanation:
As
, when the car is making full stop,
.
. Therefore,
![0 = v_i - a_it_1\\v_i = a_it_1\\t_1 = \frac{v_i}{a_i}](https://tex.z-dn.net/?f=0%20%3D%20v_i%20-%20a_it_1%5C%5Cv_i%20%3D%20a_it_1%5C%5Ct_1%20%3D%20%5Cfrac%7Bv_i%7D%7Ba_i%7D)
Apply the same formula above, with
and
, and the car is starting from 0 speed, we have
![v_i = 0 + a_it_2\\t_2 = \frac{v_i}{a_i}](https://tex.z-dn.net/?f=%20v_i%20%3D%200%20%2B%20a_it_2%5C%5Ct_2%20%3D%20%5Cfrac%7Bv_i%7D%7Ba_i%7D)
As
. After
, the car would have traveled a distance of
![s(t) = s(t_1) + s(t_2)\\s(t_1) = (v_it_1 - \frac{a_it_1^2}{2})\\ s(t_2) = \frac{a_it_2^2}{2}](https://tex.z-dn.net/?f=s%28t%29%20%3D%20s%28t_1%29%20%2B%20s%28t_2%29%5C%5Cs%28t_1%29%20%3D%20%28v_it_1%20-%20%5Cfrac%7Ba_it_1%5E2%7D%7B2%7D%29%5C%5C%20s%28t_2%29%20%3D%20%5Cfrac%7Ba_it_2%5E2%7D%7B2%7D)
Hence ![s(t) = (v_it_1 - \frac{a_it_1^2}{2}) + \frac{a_it_2^2}{2}](https://tex.z-dn.net/?f=%20s%28t%29%20%3D%20%28v_it_1%20-%20%5Cfrac%7Ba_it_1%5E2%7D%7B2%7D%29%20%2B%20%5Cfrac%7Ba_it_2%5E2%7D%7B2%7D%20)
As
we can simplify ![s(t) = v_it_1](https://tex.z-dn.net/?f=s%28t%29%20%3D%20v_it_1)
After t time, the train would have traveled a distance of ![s(t) = v_i(t_1 + t_2) = 2v_it_1](https://tex.z-dn.net/?f=%20s%28t%29%20%3D%20v_i%28t_1%20%2B%20t_2%29%20%3D%202v_it_1)
Therefore, Δd would be ![2v_it_1 - v_it_1 = v_it_1 = v_i^2/a_i](https://tex.z-dn.net/?f=%202v_it_1%20-%20v_it_1%20%3D%20v_it_1%20%3D%20v_i%5E2%2Fa_i)
I would say Its an example of polygenic inheritance because The determination of a particular characteristic, e.g. height or skin colour, by many genes (polygenes), each having a small effect individually. Characteristics controlled in this way show continuous variation.
The nail has become a temporary magnet, while the
bar magnet remains a permanent magnet.
Meiosis is the correct answer because of the fact all the other answers are no where near correct
A distance of 10.8 cm beyond its natural length will a force of 30 N keep this spring stretched
<u>Explanation:</u>
Work, W = 2 J
Initial distance,
= 30 cm
Final distance, = 42 cm
Force, F = 30 N
Stretched length, x = ?
We know,
W = 1/2 kΔx²
Δx = 42-30 cm = 12 cm = 0.12 m
2 J = 1/2 k X (0.12)²
k = 277.77 N/m
According to Hooke's law,
F = kx
30 N = 277.77 X x
x = 0.108 m
x = 10.8 cm
A distance of 10.8 cm beyond its natural length will a force of 30 N keep this spring stretched.