Answer:
0.78m/s
Explanation:
We are given that
Acceleration=![a=\frac{1}{4}s^{\frac{1}{2}}m/s^2](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B1%7D%7B4%7Ds%5E%7B%5Cfrac%7B1%7D%7B2%7D%7Dm%2Fs%5E2)
v=0, s=1 when t=0
We have to find the particle's velocity at s=2m
We know that
![a=\frac{dv}{dt}=\frac{dv}{ds}\times \frac{ds}{dt}=\frac{dv}{ds}v](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bdv%7D%7Bdt%7D%3D%5Cfrac%7Bdv%7D%7Bds%7D%5Ctimes%20%5Cfrac%7Bds%7D%7Bdt%7D%3D%5Cfrac%7Bdv%7D%7Bds%7Dv)
![vdv=ads](https://tex.z-dn.net/?f=vdv%3Dads)
![\int_{0}^{v} vdv=\int_{1}^{s}0.25s^{\frac{1}{2}}ds](https://tex.z-dn.net/?f=%5Cint_%7B0%7D%5E%7Bv%7D%20vdv%3D%5Cint_%7B1%7D%5E%7Bs%7D0.25s%5E%7B%5Cfrac%7B1%7D%7B2%7D%7Dds)
![\frac{v^2}{2}=0.25\times \frac{2}{3}(s^{\frac{3}{2})^{s}_{1}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D0.25%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%28s%5E%7B%5Cfrac%7B3%7D%7B2%7D%29%5E%7Bs%7D_%7B1%7D)
By using formula:![\int x^ndx=\frac{x^{n+1}}{n+1}+C](https://tex.z-dn.net/?f=%5Cint%20x%5Endx%3D%5Cfrac%7Bx%5E%7Bn%2B1%7D%7D%7Bn%2B1%7D%2BC)
![\frac{v^2}{2}=0.25\times \frac{2}{3}(s^{\frac{3}{2}}-1](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D0.25%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%28s%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D-1)
Substitute s=2
![\frac{v^2}{2}=\frac{0.50}{3}((2^{1.5})-1)](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D%5Cfrac%7B0.50%7D%7B3%7D%28%282%5E%7B1.5%7D%29-1%29)
![\frac{v^2}{2}=\frac{0.50}{3}\times 1.83](https://tex.z-dn.net/?f=%5Cfrac%7Bv%5E2%7D%7B2%7D%3D%5Cfrac%7B0.50%7D%7B3%7D%5Ctimes%201.83)
![v^2=2\times 0.305=0.61](https://tex.z-dn.net/?f=v%5E2%3D2%5Ctimes%200.305%3D0.61)
![v=\sqrt{0.61}=0.78m/s](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B0.61%7D%3D0.78m%2Fs)
Hence, the velocity of particle at s=2m=0.78m/s
Answer:
Explanation:
(A) water proofing is designed to keep out soil moisture and liquid water through a concrete structure while damp proofing is a coating on the exterior of a structure so as to stop the transference of ground moisture through concrete.
(B) Water proofing is more appropriate when the water table of the region is higher and there is higher rainfall, it is also more appropriate when there is a presence of hydro-static pressure.
while
Damp proofing is more preferable when there is a drier climate, there is a lower water table, also when there is a well drained soil and also good gravity drain.
Answer:
Ans 171.875 m(according to the units)
Explanation:
As we know,
to find the distance, we need to use this eqn..
speed = distance/ time
So, time is 1.92 s (as given)
the speed is 330 m/s ( in air speed)
so to find it is easy to find by using this
eqn..
speed =distance/time
330 =distance/1.92
330/1.92 =distance
171.875 = distance
Answer:
Hope it helps!
Explanation:
Light behaves both as a particle and as a wave. When UV light hits a metal surface, it causes an emission of electrons. Albert Einstein explained this "photoelectric" effect by proposing that light – thought to only be a wave – is also a stream of particles.
The main point of Einstein's light quantum theory is that light's energy is related to its oscillation frequency. ... The various properties of light, which is a type of electromagnetic wave, are due to the behavior of extremely small particles called photons that are invisible to the naked eye.
Credits:
Light is It a Wave or a Particle? - Canon Global
The first ever photograph of light as both a particle and wave