Average speed = (total distance) / (total time)
Average speed = (4+7+1+2 blox) / (1 hour)
<em>Average speed = 14 blocks/hour</em>
<em></em>
I'm gonna go out on a limb here and take a wild guess:
I'm guessing that there's another question glued onto the end of this one, and it asks you to find either her displacement or her average velocity. I'm so sure of this that I'm gonna give you the solution for that too. If there's no more question, then you won't need this, and you can just discard it. I won't mind.
Average velocity = (displacement) / (time for the displacement)
"Displacement" = distance and direction from the start point to the end point, regardless of how she got there.
Displacement = (4E + 7W + 1E + 2W)
Displacement = (5E + 9W)
<em>Displacement = 4 blocks west</em>
Average velocity = (4 blocks west) / (1 hour)
<em>Average velocity = 4 blocks/hour West</em>
Answer:
24 N
Explanation:
= mass of the cube = ![6.0 kg](https://tex.z-dn.net/?f=6.0%20kg)
Consider the three cubes together as one.
= mass of the three cubes together = ![3 m = 3 (6.0) = 18 kg](https://tex.z-dn.net/?f=3%20m%20%3D%203%20%286.0%29%20%3D%2018%20kg%20)
= acceleration of the combination = 2 ms⁻²
= Force applied on the combination
Using Newton's second law
![F = ma = (18) (2) = 36 N](https://tex.z-dn.net/?f=F%20%3D%20ma%20%3D%20%2818%29%20%282%29%20%3D%2036%20N)
= Force by the left cube on the middle cube
Consider the forces acting on left cube, from the force diagram, we have
![F - F_{L} = ma \\36 - F_{L} = (6) (2)\\F_{L} = 24 N](https://tex.z-dn.net/?f=F%20-%20F_%7BL%7D%20%3D%20ma%20%5C%5C36%20-%20F_%7BL%7D%20%3D%20%286%29%20%282%29%5C%5CF_%7BL%7D%20%3D%2024%20N)
Stars are huge celestial bodies made mostly of hydrogen and helium that produce light and heat from the churning nuclear forges inside their cores. Aside from our sun, the dots of light we see in the sky are all light-years from Earth. They are the building blocks of galaxies, of which there are billions in the universe. It’s impossible to know how many stars exist, but astronomers estimate that in our Milky Way galaxy alone, there are about 300 billion.
Answer:
when it hit the moving bat
Explanation:
force equals mass times acceleration which means the moving bat will add more force to the ball.
The position of the object at time t =2.0 s is <u>6.4 m.</u>
Velocity vₓ of a body is the rate at which the position x of the object changes with time.
Therefore,
![v_x= \frac{dx}{dt}](https://tex.z-dn.net/?f=v_x%3D%20%5Cfrac%7Bdx%7D%7Bdt%7D)
Write an equation for x.
![dx=v_xdt\\ x=\int v_xdt](https://tex.z-dn.net/?f=dx%3Dv_xdt%5C%5C%20x%3D%5Cint%20v_xdt)
Substitute the equation for vₓ =2t² in the integral.
![x=\int v_xdt\\ =\int2t^2dt\\ =\frac{2t^3}{3} +C](https://tex.z-dn.net/?f=x%3D%5Cint%20v_xdt%5C%5C%20%3D%5Cint2t%5E2dt%5C%5C%20%3D%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2BC)
Here, the constant of integration is C and it is determined by applying initial conditions.
When t =0, x = 1. 1m
![x= \frac{2t^3}{3} +C\\ x_0=1.1\\ x= (\frac{2t^3}{3} +1.1)m](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2BC%5C%5C%20x_0%3D1.1%5C%5C%20x%3D%20%28%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2B1.1%29m)
Substitute 2.0s for t.
![x= (\frac{2t^3}{3} +1.1)m\\ =\frac{2(2.0)^3}{3} +1.1\\ =6.43 m](https://tex.z-dn.net/?f=x%3D%20%28%5Cfrac%7B2t%5E3%7D%7B3%7D%20%2B1.1%29m%5C%5C%20%3D%5Cfrac%7B2%282.0%29%5E3%7D%7B3%7D%20%2B1.1%5C%5C%20%3D6.43%20m)
The position of the particle at t =2.0 s is <u>6.4m</u>