Answer:
(c) 16 m/s²
Explanation:
The position is
.
The velocity is the first time-derivative of <em>r(t).</em>
<em />
<em />
The acceleration is the first time-derivative of the velocity.
![a(t) = \dfrac{d}{dt} v(t) = -16\hat{j}](https://tex.z-dn.net/?f=a%28t%29%20%3D%20%5Cdfrac%7Bd%7D%7Bdt%7D%20v%28t%29%20%3D%20-16%5Chat%7Bj%7D)
Since <em>a(t)</em> does not have the variable <em>t</em>, it is constant. Hence, at any time,
![a = -16\hat{j}](https://tex.z-dn.net/?f=a%20%3D%20-16%5Chat%7Bj%7D)
Its magnitude is 16 m/s².
The answer is A: can change
Answer:
L = mp*v₀*(ms*D) / (ms + mp)
Explanation:
Given info
ms = mass of the hockey stick
uis = 0 (initial speed of the hockey stick before the collision)
xis = D (initial position of center of mass of the hockey stick before the collision)
mp = mass of the puck
uip = v₀ (initial speed of the puck before the collision)
xip = 0 (initial position of center of mass of the puck before the collision)
If we apply
Ycm = (ms*xis + mp*xip) / (ms + mp)
⇒ Ycm = (ms*D + mp*0) / (ms + mp)
⇒ Ycm = (ms*D) / (ms + mp)
Now, we can apply the equation
L = m*v*R
where m = mp
v = v₀
R = Ycm
then we have
L = mp*v₀*(ms*D) / (ms + mp)
Answer:
![Volume = 6248.48 m^{3}](https://tex.z-dn.net/?f=Volume%20%3D%206248.48%20m%5E%7B3%7D)
Explanation:
Given:
The area of the house ![A = 2050\ ft^{2}](https://tex.z-dn.net/?f=A%20%3D%202050%5C%20ft%5E%7B2%7D)
The height of the house ![h=10\ ft](https://tex.z-dn.net/?f=h%3D10%5C%20ft)
We need to find the volume of a typical house.
Solution:
We find the volume of the house by multiplying the area of the house and height of the house.
![Volume = Area\times height](https://tex.z-dn.net/?f=Volume%20%3D%20Area%5Ctimes%20height)
![Volume = A\times h](https://tex.z-dn.net/?f=Volume%20%3D%20A%5Ctimes%20h)
Area and height of the house are known, so we substitute these value in above equation.
![Volume = 2050\times 10](https://tex.z-dn.net/?f=Volume%20%3D%202050%5Ctimes%2010)
![Volume = 20500\ ft^{3}](https://tex.z-dn.net/?f=Volume%20%3D%2020500%5C%20ft%5E%7B3%7D)
Now we convert the unit from feet to meter.
Divide the volume by 3.2808 for ![m^{3}](https://tex.z-dn.net/?f=m%5E%7B3%7D)
![Volume = \frac{20500}{3.2808}](https://tex.z-dn.net/?f=Volume%20%3D%20%5Cfrac%7B20500%7D%7B3.2808%7D)
![Volume = 6248.48\ m^{3}](https://tex.z-dn.net/?f=Volume%20%3D%206248.48%5C%20m%5E%7B3%7D)
Therefore, the volume of the house is ![6248.48 m^{3}](https://tex.z-dn.net/?f=6248.48%20m%5E%7B3%7D)