How much time would it take for an airplane to reach its destination if it traveled at an average speed of 790 km/hr for a dista
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By using the orbital period equation we will find that the orbital radius is r = 4.29*10^11 m
<h3>What is the orbital period?</h3>
This would be the time that a given body does a complete revolution in its orbit.
It can be written as:
Where:
- π = 3.14
- G is the gravitational constant = 6.67*10^(-11) m^3/(kg*s^2)
- M is the mass of the sun = 1.989*10^30 kg
- r is the radius, which we want to find.
Rewriting the equation for the radius we get:
Where T = 7.5 years = 7.5*(3.154*10^7 s) = 2.3655*10^8 s
Replacing the values in the equation we get:
So the orbital radius is 4.29*10^11 m
If you want to learn more about orbits, you can read:
Given
Initial velocity:
36 ft/s
Initial height:
0 ft
Vertical motion model:
h(t) = -16t^2 + ut + s
v = initial velocity
s = is the height
Procedure
We are going to use the model provided for the vertical motion.
We know that at the maximum height the final velocity is 0.
Then we will use the following expression to calculate the maximum height:
Now for time:
Solving for t,
The total time the kangaroo takes in the air is 2.3s.