Hello there.
<span>Natalie accelerates her skateboard along a straight path from 4 m/s to 0 m/s in 25.0 s. Find the acceleration.
</span><span>6.25 m/s2
</span>
Answer:
r(b) = 2.45r
Explanation:
Parameters given:
Satellite A
Mass = m
Orbit radius = r
Satellite B
Mass = 6m
Orbit radius = r(b)
Gravitational force between Earth and Satellite A, F(A) is:
F(A) = (G*M*m)/r²
F(A) = GMm/r²
Gravitational force between Earth and Satellite B, F(B) is:
F(B) = (G*M*6m)/r(b)²
F(B) = 6GMm/r(b)²
Since F(A) = F(B),
GMm/r² = 6GMm/r(b)²
=> r(b)² = 6r²
r(b) = 2.45r
Answer:
The vector equation of the line is
![\overrightarrow{r}=+t](https://tex.z-dn.net/?f=%5Coverrightarrow%7Br%7D%3D%3C7%2C-8%2C3%3E%2Bt%3C1%2C6%2C-13%3E)
Parametric equations for given line are
![x=7+t\\y=-8+6t\\z=3-13t](https://tex.z-dn.net/?f=x%3D7%2Bt%5C%5Cy%3D-8%2B6t%5C%5Cz%3D3-13t)
Explanation:
The vector equation of the line is given by
![r(t) = r_{o} + tv](https://tex.z-dn.net/?f=%20r%28t%29%20%3D%20r_%7Bo%7D%20%2B%20tv)
r₀ = (7, -8, 3)
v = (1, 6, -13)
At these points the vector equation for this line is:
![\overrightarrow{r}=\overrightarrow{r_{o}}+t\overrightarrow{v}\\\overrightarrow{r}=+t](https://tex.z-dn.net/?f=%5Coverrightarrow%7Br%7D%3D%5Coverrightarrow%7Br_%7Bo%7D%7D%2Bt%5Coverrightarrow%7Bv%7D%5C%5C%5Coverrightarrow%7Br%7D%3D%3C7%2C-8%2C3%3E%2Bt%3C1%2C6%2C-13%3E)
Parametric equations for given line are
![x=7+t\\y=-8+6t\\z=3-13t](https://tex.z-dn.net/?f=x%3D7%2Bt%5C%5Cy%3D-8%2B6t%5C%5Cz%3D3-13t)
Answer:
Check attachment for solution
Explanation:
Given that 12V battery
The car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
<h3>Average velocity of the car</h3>
The average velocity of the car is calculated as follows;
x(t) = a + bt + ct2
v = dx/dt
v(t) = b + 2ct
v(0) = -10.1 m/s + 2(1.1)(0) = -10.1 m/s
v(10) = -10.1 + 2(1.1)(10) = 11.9 m/s
<h3>Average velocity</h3>
V = ¹/₂[v(0) + v(10)]
V = ¹/₂ (-10.1 + 11.9 )
V = 0.9 m/s
Thus, the car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.
Learn more about velocity here: brainly.com/question/4931057
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