Answer:
The horizontal distance travelled in that time lapse is 12.94 m
Explanation:
In order to solve this problem, we'll need:
- The horizontal speed
- the time the hammer takes to fall from the roof to the ground
At the lowest point of the roof, the hammer has a 9.88 m/s speed that makes an angle of 27° with the horizontal, so we can calculate the horizontal and vertical speed with trigonometry. If we take right as x positive and down as y positive we get
![v_{x}=v*cos(27)=9.88 m/s *cos(27)=8.80 m/s \\v_{y}=v*sen(27)=9.88 m/s *sen(27)=4.49 m/s](https://tex.z-dn.net/?f=v_%7Bx%7D%3Dv%2Acos%2827%29%3D9.88%20m%2Fs%20%2Acos%2827%29%3D8.80%20m%2Fs%20%5C%5Cv_%7By%7D%3Dv%2Asen%2827%29%3D9.88%20m%2Fs%20%2Asen%2827%29%3D4.49%20m%2Fs)
Now, we make two movement equation as we have a URM (no acceleration) in x and an ARM (gravity as acceleration) in y. We will wisely pick the lowest point of the roof as the origin of coordinates
![x(t)=8.8 m/s *t](https://tex.z-dn.net/?f=x%28t%29%3D8.8%20m%2Fs%20%2At)
![y(t)=4.49m/s*t+\frac{1}{2}*9.8m/s^{2}*t^{2}](https://tex.z-dn.net/?f=y%28t%29%3D4.49m%2Fs%2At%2B%5Cfrac%7B1%7D%7B2%7D%2A9.8m%2Fs%5E%7B2%7D%2At%5E%7B2%7D)
Now we calculate the time the hammer takes to get to the floor
or ![t=-2.38s](https://tex.z-dn.net/?f=t%3D-2.38s)
Now, we keep the positive time result and calculate the horizontal distance travelled
![x(1.47s)=8.8m/s*1.47s=12.94m](https://tex.z-dn.net/?f=x%281.47s%29%3D8.8m%2Fs%2A1.47s%3D12.94m)
Acceleration is the change of velocity, and velocity is the change of distance. The opposite of finding change, or differentiation, is integration.
Acceleration = 1.3 m/s²
Velocity: ∫ 1.3 dx = 1.3x + c m/s
Distance: ∫ 1.3x dx = 1.3x²/2 + c m
Distance run: 1.3*3²/2 = 5.85 m
<em>What</em><em> </em><em>bad</em><em> </em><em>thing</em><em> </em><em>happened</em><em>?</em>
29.5 days
It takes 27 days, 7 hours, and 43 minutes for our Moon to complete one full orbit around Earth. This is called the sidereal month, and is measured by our Moon's position relative to distant “fixed” stars. However, it takes our Moon about 29.5 days to complete one cycle of phases (from new Moon to new Moon).
Answer:
it loaded and it is C. buddy sorry about that :)
Шада и я тебя понимаю с чего начать с того ни другого человека дал в долг у меня в здоровье