Answer:
H = 171.90 m
Explanation:
given data
distance = 53.2 m
height = H
to find out
height H
solution
we know height is here H =
......................1
here t is time and a is acceleration
so
we find t first
we know during time (t -1) s , it fall distance (H - 53.2) m
so equation of distance
![H - 53.2 = \frac{1}{2} g (t-1)^2](https://tex.z-dn.net/?f=H%20-%2053.2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%20%28t-1%29%5E2)
![H - 53.2 = \frac{1}{2} g (t^2-2t+1)](https://tex.z-dn.net/?f=H%20-%2053.2%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20g%20%28t%5E2-2t%2B1%29)
................2
now subtract equation 2 from equation 1 so we get
53.2 = gt - ![\frac{1}{2} g](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20g%20)
53.2 = 9.81 t - ![\frac{1}{2} 9.8](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%209.8%20)
t = 5.92 s
so from equation 1
H =
H = 171.90 m
Answer:
![h=\dfrac{3v^2}{8g}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7B3v%5E2%7D%7B8g%7D)
Explanation:
It is given that,
Speed of the projectile is 0.5 v. Let h is the height above the ground. Using the first equation of motion to find it.
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
![v=u-gt](https://tex.z-dn.net/?f=v%3Du-gt)
Initial speed of the projectile is v and final speed is 0.5 v.
![0.5v=v-gt](https://tex.z-dn.net/?f=0.5v%3Dv-gt)
![t=\dfrac{v}{2g}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bv%7D%7B2g%7D)
g is the acceleration due to gravity
Let h is the height above the ground. Using the second equation of motion as :
![h=vt-\dfrac{1}{2}gt^2](https://tex.z-dn.net/?f=h%3Dvt-%5Cdfrac%7B1%7D%7B2%7Dgt%5E2)
![h=v\dfrac{v}{2g}-\dfrac{1}{2}g(\dfrac{v}{2g})^2](https://tex.z-dn.net/?f=h%3Dv%5Cdfrac%7Bv%7D%7B2g%7D-%5Cdfrac%7B1%7D%7B2%7Dg%28%5Cdfrac%7Bv%7D%7B2g%7D%29%5E2)
![h=\dfrac{3v^2}{8g}](https://tex.z-dn.net/?f=h%3D%5Cdfrac%7B3v%5E2%7D%7B8g%7D)
So, the height of the projectile above the ground is
. Hence, this is the required solution.
347÷134=2.589552239 meters per second
2.589552239×60= 155.3731343 meters per hour
155.3731343 meters per hour= 0.096544389701642 miles per hour
hopefully this was right.
Answer:
Star formation occurs most rapidly in the spiral arms, where the density of interstellar matter is highest.
Keep your lane position, and sound your horn while braking in a controlled manner. Sudden panic stops are not a good idea, as they could spook the animal, causing it to suddenly dart into the path of another vehicle.