Answer:
v = 1 m/s
Explanation:
from the principle of conservation of momentum, we have following relation
initial momentum = final momentum
![m_{1}v_{1}+m_{2}v_{2} = (m_{1}+m_{2})v^{2}](https://tex.z-dn.net/?f=m_%7B1%7Dv_%7B1%7D%2Bm_%7B2%7Dv_%7B2%7D%20%3D%20%28m_%7B1%7D%2Bm_%7B2%7D%29v%5E%7B2%7D)
where
m1 = 1.14 kg
v1 = 2.0 m/s
m2 = 1.14 kg
v2 = 0 m/s
putting all value in the above equation
![1.14 *2.0+ 0 =(1.14+1.14)v^{2}](https://tex.z-dn.net/?f=1.14%20%2A2.0%2B%200%20%3D%281.14%2B1.14%29v%5E%7B2%7D)
![v =\frac{1.14*2.0}{1.14+1.14}](https://tex.z-dn.net/?f=v%20%3D%5Cfrac%7B1.14%2A2.0%7D%7B1.14%2B1.14%7D)
v = 1 m/s
The distance you free-fall from rest is D = (1/2) (g) (T²) <== memorize this
Height of the platform = (1/2) (9.8 m/s²) (2.4 sec)²
Height = (4.9 m/s²) (5.76 s²)
Height = (4.9/5.76) meters
Height = 28.2 meters (a VERY high platform ... about 93 ft off the water !)
Without air-resistance, your horizontal speed doesn't change. It's constant. Traveling 3.1 m/s for 2.4 sec, you cover (3.1 m/s x 2/4 s) = 7.4 m horizontally.
The crate’s acceleration is gravity= 9.81m/s^2
The ball’s acceleration is also gravity=9.81m/s^2
Answer:
The answer to your question is 636.6 ft
Explanation:
Data
base = 425 ft
angle = 39°
See the picture below
1.- Divide the triangle to get two right triangles.
Now the superior angle will measure 19.5° and the opposite side will measure 212.5 ft
2.- Use the trigonometric function sine to find the hypotenuse
sin 19.5 = 212.5/hyp
solve for hyp
hyp = 212.5 / sin 19.5
Result
hyp = 212.5/ 0.333
hyp = 636.6 ft