Answer:
a) angle θ = 53.1º, b) V = 15 i ^ m/s, a = - 9.8 j ^ m/s² c) Y = 15.9 m
Explanation:
a) In the problem they indicate that we treat the drops of water like projectiles, as they give us the time it takes to travel distance we can find the horizontal speed
Vox = X / t
Vox = 45.0 / 3.00
Vox = 15 m / s
They also indicate the speed of water 25m / s, we calculate the angle
Vox = Vo cos θ
Vo cos θ = 15
Cos θ = 15 / Vo
θ = cos⁻¹ (15 / vo) = cos⁻¹ (15/25)
θ = 53.1º
This is the elevation angle.
b. At the highest point the vertical speed must be zero (Vy = 0), the constant horizontal speed since there is no acceleration on this axis and the only acceleration acting on the body is the acceleration of gravity
V = Vox i ^ = 15 i ^ m / s
a = -g j ^ = - 9.8 j ^ m /s²
Where the negative sign indicates that the acceleration is towards the center of the earth
c. The water takes to reach the building 3 s let's calculate the height
Y = Voy t - ½ g t²
Voy = Vo sin θ
Voy = 25 sin 53.1
Voy = 20 m / s
Y = 20 3 - ½ 9.8 3²
Y = 15.9 m
The best logical answer is A
Answer:
The x- and y- components of the vector is 2.41 and 13.68 respectively.
Explanation:
Given that,
The magnitude of vector A is 13.9 and its direction is 80∘ counter‑clockwise from the +x- axis.
The x component of a vector is given by :
![A_x=A\ cos\theta](https://tex.z-dn.net/?f=A_x%3DA%5C%20cos%5Ctheta)
![A_x=13.9\times cos(80)](https://tex.z-dn.net/?f=A_x%3D13.9%5Ctimes%20cos%2880%29)
![A_x=2.41](https://tex.z-dn.net/?f=A_x%3D2.41)
The y component of a vector is given by :
![A_y=A\ sin\theta](https://tex.z-dn.net/?f=A_y%3DA%5C%20sin%5Ctheta)
![A_y=13.9\times \ sin(80)](https://tex.z-dn.net/?f=A_y%3D13.9%5Ctimes%20%5C%20sin%2880%29)
![A_y=13.68](https://tex.z-dn.net/?f=A_y%3D13.68)
So, the x- and y- components of the vector is 2.41 and 13.68 respectively.
Answer:
B. a conversion factor
Explanation:
The expression "1 in. = 2.54 cm" is called a conversion factor.
With this expression inches can be converted to centimeters.
Inversely the expression can also be used to convert centimeters to inches
By rearranging the equation we get
![\frac{1}{2.54}\ inches=1\ cm\\\Rightarrow 1\ cm=0.394\ inches](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2.54%7D%5C%20inches%3D1%5C%20cm%5C%5C%5CRightarrow%201%5C%20cm%3D0.394%5C%20inches)
The statement which shows the equal nature of two different expressions is called an equation
Rule of thumb is a general approximation of a result of a test or experiment.