Answer:
The final position made with the vertical is 2.77 m.
Explanation:
Given;
initial velocity of the ball, V = 17 m/s
angle of projection, θ = 30⁰
time of motion, t = 1.3 s
The vertical component of the velocity is calculated as;
![V_y = Vsin \theta\\\\V_y = 17 \times sin(30)\\\\V_y = 8.5 \ m/s](https://tex.z-dn.net/?f=V_y%20%3D%20Vsin%20%5Ctheta%5C%5C%5C%5CV_y%20%3D%2017%20%5Ctimes%20sin%2830%29%5C%5C%5C%5CV_y%20%3D%208.5%20%5C%20m%2Fs)
The final position made with the vertical (Yf) after 1.3 seconds is calculated as;
![Y_f = V_yt - \frac{1}{2}g t^2\\\\Y_f = (8.5 \times 1.3 ) - (\frac{1}{2} \times 9.8 \times 1.3^2)\\\\Y_f = 11.05 \ - \ 8.281\\\\Y_f = 2.77 \ m](https://tex.z-dn.net/?f=Y_f%20%3D%20V_yt%20%20-%20%5Cfrac%7B1%7D%7B2%7Dg%20t%5E2%5C%5C%5C%5CY_f%20%3D%20%288.5%20%5Ctimes%201.3%20%29%20-%20%28%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%209.8%20%5Ctimes%201.3%5E2%29%5C%5C%5C%5CY_f%20%3D%2011.05%20%5C%20-%20%5C%208.281%5C%5C%5C%5CY_f%20%3D%202.77%20%5C%20m)
Therefore, the final position made with the vertical is 2.77 m.
Answer:
43.43
Explanation:
5.746 x 7.56 = 43.43976
As the least number of desimal is two so our awnser should contain two digits after the decimal point.
Ans: 43.43.
A. Bones provide protection for organs in the body
When an object's atoms move faster, its thermal energy increases and the object becomes warmer.
Answer:
Explanation:
Given
length of rope ![L=19\ m](https://tex.z-dn.net/?f=L%3D19%5C%20m)
velocity while running ![v=2\ m/s](https://tex.z-dn.net/?f=v%3D2%5C%20m%2Fs)
when the person jumps off the bank and hang on the rope then we can treat the person as pendulum with Time period T which is given by
![T=2\pi \sqrt{\frac{L}{g}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7BL%7D%7Bg%7D%7D)
![T=2\pi \sqrt{\frac{19}{9.8}}](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Csqrt%7B%5Cfrac%7B19%7D%7B9.8%7D%7D)
![T=2\pi \times 1.392](https://tex.z-dn.net/?f=T%3D2%5Cpi%20%5Ctimes%201.392)
![T=8.74\ m/s](https://tex.z-dn.net/?f=T%3D8.74%5C%20m%2Fs)
Greatest Possible distance will be covered when person reaches the other extreme end of assumed pendulum (velocity=zero)
therefore he must hang on for 0.5 T time
![time=0.5\times 8.74=4.37\ s](https://tex.z-dn.net/?f=time%3D0.5%5Ctimes%208.74%3D4.37%5C%20s)