Answer:
0.0025 sec
Explanation:
Period = 1 / frequency = 1/400 = 0.0025 sec
Answer:
7.644 feet
Explanation:
Free fall means that an object is falling freely with no forces acting upon it except gravity, a defined constant, g = -9.8 m/s2. The distance the object falls, or height, h, is 1/2 gravity x the square of the time falling.
I don’t think so .............
Answer:
Explanation:
Given
altitude of the Plane ![h=6\ miles](https://tex.z-dn.net/?f=h%3D6%5C%20miles)
When Airplane is
away
Distance is changing at the rate of ![\frac{\mathrm{d} s}{\mathrm{d} t}=290\ mph](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D290%5C%20mph)
From diagram we can write as
![h^2+x^2=s^2](https://tex.z-dn.net/?f=h%5E2%2Bx%5E2%3Ds%5E2)
differentiate above equation w.r.t time
![2h\frac{\mathrm{d} h}{\mathrm{d} t}+2x\frac{\mathrm{d} x}{\mathrm{d} t}=2s\frac{\mathrm{d} s}{\mathrm{d} t}](https://tex.z-dn.net/?f=2h%5Cfrac%7B%5Cmathrm%7Bd%7D%20h%7D%7B%5Cmathrm%7Bd%7D%20t%7D%2B2x%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D2s%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
as altitude is not changing therefore ![\frac{\mathrm{d} h}{\mathrm{d} t}=0](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7Bd%7D%20h%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D0)
![0+x\frac{\mathrm{d} x}{\mathrm{d} t}=s\frac{\mathrm{d} s}{\mathrm{d} t}](https://tex.z-dn.net/?f=0%2Bx%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3Ds%5Cfrac%7B%5Cmathrm%7Bd%7D%20s%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
at ![s=10\ miles\ and\ h=6\ miles](https://tex.z-dn.net/?f=s%3D10%5C%20miles%5C%20and%5C%20h%3D6%5C%20miles)
substitute the value we get ![x=\sqrt{10^2-6^2}=8\ miles](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B10%5E2-6%5E2%7D%3D8%5C%20miles)
![8\times \frac{\mathrm{d} x}{\mathrm{d} t}=10\times 290](https://tex.z-dn.net/?f=8%5Ctimes%20%5Cfrac%7B%5Cmathrm%7Bd%7D%20x%7D%7B%5Cmathrm%7Bd%7D%20t%7D%3D10%5Ctimes%20290)
Answer
The driver should reduce the speed or velocity of vehicle
because momentum which is
Mass x velocity will be reduced if velocity reduces and reduce force if impact