Q2. On a cold day, hailstones fall with a velocity of (2i− 6k) m s−1 . If a cyclist travels through the hail at 10i ms−1 , what
is the velocity of the hail relative to the cyclist? At what angle are the hailstones falling relative to the cyclist
1 answer:
Answer:![-8\hat{i}-6\hat{k}](https://tex.z-dn.net/?f=-8%5Chat%7Bi%7D-6%5Chat%7Bk%7D)
![\theta =\tan^{-1}\left ( \frac{3}{4} \right )](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Ctan%5E%7B-1%7D%5Cleft%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%5Cright%20%29)
Step-by-step explanation:
Given
Velocity of hailstones fall
m/s
Velocity of cyclist
m/s
Therefore
Velocity of hail with respect to cyclist![\left ( V_{hc}\right )](https://tex.z-dn.net/?f=%5Cleft%20%28%20V_%7Bhc%7D%5Cright%20%29)
![V_{hc}=V_h-V_c](https://tex.z-dn.net/?f=V_%7Bhc%7D%3DV_h-V_c)
![V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}](https://tex.z-dn.net/?f=V_%7Bhc%7D%3D2%5Chat%7Bi%7D-6%5Chat%7Bk%7D-10%5Chat%7Bi%7D)
![V_{hc}=-8\hat{i}-6\hat{k}](https://tex.z-dn.net/?f=V_%7Bhc%7D%3D-8%5Chat%7Bi%7D-6%5Chat%7Bk%7D)
and angle of hails falling relative to the cyclist is given by
![\theta =\tan^{-1}\left ( \frac{3}{4}\right )](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Ctan%5E%7B-1%7D%5Cleft%20%28%20%5Cfrac%7B3%7D%7B4%7D%5Cright%20%29)
is the angle made with the vertical
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![\mathbb P(Z](https://tex.z-dn.net/?f=%5Cmathbb%20P%28Z%3Cz%29%3DF_Z%28z%29%3D0.628%5Cimplies%20z%3D%7BF_Z%7D%5E%7B-1%7D%280.628%29%5Capprox0.3266)
where
![F_Z(z)](https://tex.z-dn.net/?f=F_Z%28z%29)
is the cumulative distribution function for the random variable
![Z](https://tex.z-dn.net/?f=Z)
following the standard normal distribution.
Answer:
Number 4 i just got done with this problem >33 brainliest ~shay
Step-by-step explanation:
It's simple, if it's a square pyramid then u measure it in Square feet
Answer:
A.
Step-by-step explanation: