Explanation :
Distance is total path travelled by an object during its entire journey. It is a scalar quantity i.e only magnitude.
Displacement is the shortest distance covered by an object. It is basically the change in position of object. It is a vector quantity i.e direction as well as magnitude.
When an object is travelling in a straight line and stops at the end point, then both distance and displacement are same.
When an object is travelling in a straight line and then changes its direction or we can say come backwards then the magnitude of distance and displacement are different.
Answer:
(a). The reactive power is 799.99 KVAR.
(c). The reactive power of a capacitor to be connected across the load to raise the power factor to 0.95 is 790.05 KVAR.
Explanation:
Given that,
Power factor = 0.6
Power = 600 kVA
(a). We need to calculate the reactive power
Using formula of reactive power
...(I)
We need to calculate the ![\phi](https://tex.z-dn.net/?f=%5Cphi)
Using formula of ![\phi](https://tex.z-dn.net/?f=%5Cphi)
![\phi=\cos^{-1}(Power\ factor)](https://tex.z-dn.net/?f=%5Cphi%3D%5Ccos%5E%7B-1%7D%28Power%5C%20factor%29)
Put the value into the formula
![\phi=\cos^{-1}(0.6)](https://tex.z-dn.net/?f=%5Cphi%3D%5Ccos%5E%7B-1%7D%280.6%29)
![\phi=53.13^{\circ}](https://tex.z-dn.net/?f=%5Cphi%3D53.13%5E%7B%5Ccirc%7D)
Put the value of Φ in equation (I)
![Q=600\tan(53.13)](https://tex.z-dn.net/?f=Q%3D600%5Ctan%2853.13%29)
![Q=799.99\ kVAR](https://tex.z-dn.net/?f=Q%3D799.99%5C%20kVAR)
(b). We draw the power triangle
(c). We need to calculate the reactive power of a capacitor to be connected across the load to raise the power factor to 0.95
Using formula of reactive power
![Q'=600\tan(0.95)](https://tex.z-dn.net/?f=Q%27%3D600%5Ctan%280.95%29)
![Q'=9.94\ KVAR](https://tex.z-dn.net/?f=Q%27%3D9.94%5C%20KVAR)
We need to calculate the difference between Q and Q'
![Q''=Q-Q'](https://tex.z-dn.net/?f=Q%27%27%3DQ-Q%27)
Put the value into the formula
![Q''=799.99-9.94](https://tex.z-dn.net/?f=Q%27%27%3D799.99-9.94)
![Q''=790.05\ KVAR](https://tex.z-dn.net/?f=Q%27%27%3D790.05%5C%20KVAR)
Hence, (a). The reactive power is 799.99 KVAR.
(c). The reactive power of a capacitor to be connected across the load to raise the power factor to 0.95 is 790.05 KVAR.
Answer is E
time can be negative.
A is not true because <span>a=<span><span><span>d2</span>x</span><span>d<span>t2</span></span></span>=12 m/<span>s2</span></span>
C: question already said that particle move along x-axis, which is not parabola path.
D: velocity is <span><span><span>dx</span><span>dt</span></span>=12t</span>, therefore velocity changes by 12 m/s and not 9.8 m/s
So we are left with E.
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