The answer is 0.0016 or 0.0017
Answer: 59.690260418206
The result is approximate. Round that value however you need to.
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Explanation:
For a circle with radius r = 142.5, the full distance around the edge (aka perimeter aka circumference) is found by using the formula below.
C = 2*pi*r
C = 2*pi*142.5
C = 895.353906273091
That value is approximate. I used my calculator's stored value of pi to get the most accuracy possible.
That value of roughly 895 represents the distance around a full circle of that radius, but we only want a 24 degree pizza slice.
In other words, we want 24/360 = 1/15 of the full perimeter
(1/15)*895.353906273091 = 59.690260418206
Answer:
The velocities after 739 s of firing of each engine would be 6642.81 m/s in the x direction and 5306.02 in the y direction
Step-by-step explanation:
- For a constant acceleration:
, where
is the final velocity in a direction after the acceleration is applied,
is the initial velocity in that direction before the acceleration is applied, a is the acceleration applied in such direction, and t is the amount of time during where that acceleration was applied. - <em>Then for the x direction</em> it is known that the initial velocity is
5320 m/s, the acceleration (the applied by the engine) in x direction is
1.79 m/s2 and, the time during the acceleration was applied (the time during the engines were fired) of the is 739 s. Then: 
- In the same fashion, <em>for the y direction</em>, the initial velocity is
0 m/s, the acceleration in y direction is
7.18 m/s2, and the time is the same that in the x direction, 739 s, then for the final velocity in the y direction: 
The picture is how I solved it and it will be correct