Answer:
One
For surface-mounted and pendant-hung luminaires, support rods should be placed so that they extend about _one___
<h3>what is supported mounted?</h3>
- A structure that holds up or serves as a foundation for something else. Support is a synonym for mounting.
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Answer: At time 18.33 seconds it will have moved 500 meters.
Explanation:
Since the acceleration of the car is a linear function of time it can be written as a function of time as
![a(t)=5(1-\frac{t}{15})](https://tex.z-dn.net/?f=a%28t%29%3D5%281-%5Cfrac%7Bt%7D%7B15%7D%29)
![a=\frac{d^{2}x}{dt^{2}}\\\\\therefore \frac{d^{2}x}{dt^{2}}=5(1-\frac{t}{15})](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bd%5E%7B2%7Dx%7D%7Bdt%5E%7B2%7D%7D%5C%5C%5C%5C%5Ctherefore%20%5Cfrac%7Bd%5E%7B2%7Dx%7D%7Bdt%5E%7B2%7D%7D%3D5%281-%5Cfrac%7Bt%7D%7B15%7D%29)
Integrating both sides we get
![\int \frac{d^{2}x}{dt^{2}}dt=\int 5(1-\frac{t}{15})dt\\\\\frac{dx}{dt}=v=5t-\frac{5t^{2}}{30}+c](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bd%5E%7B2%7Dx%7D%7Bdt%5E%7B2%7D%7Ddt%3D%5Cint%205%281-%5Cfrac%7Bt%7D%7B15%7D%29dt%5C%5C%5C%5C%5Cfrac%7Bdx%7D%7Bdt%7D%3Dv%3D5t-%5Cfrac%7B5t%5E%7B2%7D%7D%7B30%7D%2Bc)
Now since car starts from rest thus at time t = 0 ; v=0 thus c=0
again integrating with respect to time we get
![\int \frac{dx}{dt}dt=\int (5t-\frac{5t^{2}}{30})dt\\\\x(t)=\frac{5t^{2}}{2}-\frac{5t^{3}}{90}+D](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7Bdx%7D%7Bdt%7Ddt%3D%5Cint%20%285t-%5Cfrac%7B5t%5E%7B2%7D%7D%7B30%7D%29dt%5C%5C%5C%5Cx%28t%29%3D%5Cfrac%7B5t%5E%7B2%7D%7D%7B2%7D-%5Cfrac%7B5t%5E%7B3%7D%7D%7B90%7D%2BD)
Now let us assume that car starts from origin thus D=0
thus in the first 15 seconds it covers a distance of
![x(15)=2.5\times 15^{2}-\farc{15^{3}}{18}=375m](https://tex.z-dn.net/?f=x%2815%29%3D2.5%5Ctimes%2015%5E%7B2%7D-%5Cfarc%7B15%5E%7B3%7D%7D%7B18%7D%3D375m)
Thus the remaining 125 meters will be covered with a constant speed of
![v(15)=5\times 15-\frac{15^{2}}{6}=37.5m/s](https://tex.z-dn.net/?f=v%2815%29%3D5%5Ctimes%2015-%5Cfrac%7B15%5E%7B2%7D%7D%7B6%7D%3D37.5m%2Fs)
in time equalling ![t_{2}=\frac{125}{37.5}=3.33seconds](https://tex.z-dn.net/?f=t_%7B2%7D%3D%5Cfrac%7B125%7D%7B37.5%7D%3D3.33seconds)
Thus the total time it requires equals 15+3.33 seconds
t=18.33 seconds
Answer:
R = ![\left[\begin{array}{ccc}1&0&0\\0&cos30&-sin30\\0&sin30&cos30\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%26cos30%26-sin30%5C%5C0%26sin30%26cos30%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}cos 60&-sin60&0\\sin60&cos60&60\0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dcos%2060%26-sin60%260%5C%5Csin60%26cos60%2660%5C0%260%261%5Cend%7Barray%7D%5Cright%5D)
Explanation:
The mappings always involve a translation and a rotation of the matrix. Therefore, the rotation matrix will be given by:
Let
and
be the the angles 60⁰ and 30⁰ respectively
that is
= 60⁰ and
= 30⁰
The matrix is given by the following expression:
![\left[\begin{array}{ccc}1&0&0\\0&cos30&-sin30\\0&sin30&cos30\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%260%5C%5C0%26cos30%26-sin30%5C%5C0%26sin30%26cos30%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}cos 60&-sin60&0\\sin60&cos60&60\0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dcos%2060%26-sin60%260%5C%5Csin60%26cos60%2660%5C0%260%261%5Cend%7Barray%7D%5Cright%5D)
The angles can be evaluated and left in the surd form.
Answer:
HUMAN DEVELOPMENT
MOTOR BEHAVIOR
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HISTORY AND PHILOSOPHY
UNIQUE ATTRIBUTES OF LEARNERS
CURRICULUM THEORY AND DEVELOPMENT
Explanation: