Answer:
394.26 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration due to gravity = 9.8 m/s²
![v=u+at\\\Rightarrow 0=44-9.8\times t\\\Rightarrow \frac{-44}{-9.8}=t\\\Rightarrow t=4.49 \s](https://tex.z-dn.net/?f=v%3Du%2Bat%5C%5C%5CRightarrow%200%3D44-9.8%5Ctimes%20t%5C%5C%5CRightarrow%20%5Cfrac%7B-44%7D%7B-9.8%7D%3Dt%5C%5C%5CRightarrow%20t%3D4.49%20%5Cs)
![s=ut+\frac{1}{2}at^2\\\Rightarrow s=44\times 4.49+\frac{1}{2}\times -9.8\times 4.49^2\\\Rightarrow s=98.77\ m](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%20s%3D44%5Ctimes%204.49%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20-9.8%5Ctimes%204.49%5E2%5C%5C%5CRightarrow%20s%3D98.77%5C%20m)
![s=ut+\frac{1}{2}at^2\\\Rightarrow 98.77=0t+\frac{1}{2}\times 9.8\times t^2\\\Rightarrow t=\sqrt{\frac{98.77\times 2}{9.8}}\\\Rightarrow t=4.49\ s](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%2098.77%3D0t%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%209.8%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20t%3D%5Csqrt%7B%5Cfrac%7B98.77%5Ctimes%202%7D%7B9.8%7D%7D%5C%5C%5CRightarrow%20t%3D4.49%5C%20s)
Total time taken by the stone to reach the ground is 4.49+4.49 = 8.97 seconds
![s=ut+\frac{1}{2}at^2\\\Rightarrow h=0t+\frac{1}{2}\times 9.81\times t^2\\\Rightarrow t=\sqrt{\frac{h\times 2}{9.8}}](https://tex.z-dn.net/?f=s%3Dut%2B%5Cfrac%7B1%7D%7B2%7Dat%5E2%5C%5C%5CRightarrow%20h%3D0t%2B%5Cfrac%7B1%7D%7B2%7D%5Ctimes%209.81%5Ctimes%20t%5E2%5C%5C%5CRightarrow%20t%3D%5Csqrt%7B%5Cfrac%7Bh%5Ctimes%202%7D%7B9.8%7D%7D)
The times are equal so,
![8.97=\sqrt{\frac{h\times 2}{9.8}}\\\Rightarrow h=\frac{8.97^2\times 9.8}{2}\\\Rightarrow h=394.26\ m](https://tex.z-dn.net/?f=8.97%3D%5Csqrt%7B%5Cfrac%7Bh%5Ctimes%202%7D%7B9.8%7D%7D%5C%5C%5CRightarrow%20h%3D%5Cfrac%7B8.97%5E2%5Ctimes%209.8%7D%7B2%7D%5C%5C%5CRightarrow%20h%3D394.26%5C%20m)
The height is 394.26 m
It is very interesting step about Relative velocity. Actually, when you'll see the speed of fly in relation to ground, then it's speed would be 65 mph as train is traveling by that speed but if a person in on Train, then fly is at rest for him
Hope this helps!
Answer:
stomata to regulate water
specialized cells
Explanation:
Land plants are able to successfully adapt to staying on land through the use of stomata to regulate water loss and through the development of specialized cells that give support to grow erect.
Water regulation is important for the survival of plants on land, otherwise, they may face desiccation as a result of the heat from the sun. <u>The stomata is a structure found on the leaves of land plants that open and close to regulate the amount of water lost to the environment through evapotranspiration.</u> When there is adequate water and the plant can afford to lose some water, the stomata open, otherwise, the stomata close.
Support is also important for land plant's survival and the development of specialized cells in the form of <em>sclerenchyma cells</em> take care of this. The <em>fib</em>ers and <em>sclerids</em> are two types of sclerenchyma cells that primarily function to support the land plants.
Answer:
The velocity of the skateboard is 0.774 m/s.
Explanation:
Given that,
The spring constant of the spring, k = 3086 N/m
The spring is stretched 18 cm or 0.18 m
Mass of the student, m = 100 kg
Potential energy of the spring, ![P_f=20\ J](https://tex.z-dn.net/?f=P_f%3D20%5C%20J)
To find,
The velocity of the car.
Solution,
It is a case of conservation of energy. The total energy of the system remains conserved. So,
![P_i=K_f+P_f](https://tex.z-dn.net/?f=P_i%3DK_f%2BP_f)
![\dfrac{1}{2}kx^2=\dfrac{1}{2}mv^2+20](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7Dkx%5E2%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%2B20)
![\dfrac{1}{2}\times 3086\times (0.18)^2=\dfrac{1}{2}mv^2+20](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%203086%5Ctimes%20%280.18%29%5E2%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2%2B20)
![50-20=\dfrac{1}{2}mv^2](https://tex.z-dn.net/?f=50-20%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2)
![30=\dfrac{1}{2}mv^2](https://tex.z-dn.net/?f=30%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2)
![v=\sqrt{\dfrac{60}{100}}](https://tex.z-dn.net/?f=v%3D%5Csqrt%7B%5Cdfrac%7B60%7D%7B100%7D%7D)
v = 0.774 m/s
So, the velocity of the skateboard is 0.774 m/s.
Answer:
yes
Explanation:
yes, because lets say you were a surgeon you would have sharp tools floating everywhere