Respuesta :
Answer is: 354 days.
V = V₀ + g·t.
V - final velocity, V = 3·10⁸ m/s.
V₀ - initial velocity, V₀ = o, because spaceship is in rest.
t - time, how long it takes for spaceship to move from one position to another.
g - gravity, g = 9,8 m/s².
t = V÷g = 3,06·10⁷s = 510204min = 88503,4hr = 354 days.
V = V₀ + g·t.
V - final velocity, V = 3·10⁸ m/s.
V₀ - initial velocity, V₀ = o, because spaceship is in rest.
t - time, how long it takes for spaceship to move from one position to another.
g - gravity, g = 9,8 m/s².
t = V÷g = 3,06·10⁷s = 510204min = 88503,4hr = 354 days.
The number of days it takes a spaceship to accelerate from rest to the speed of light (3.0×10⁸m/s) is; 354.3 days.
Acceleration and Speed
The number of days it takes the spaceship to accelerate can be calculated from the equation of motion as follows;
- V = U + g(t)
Where, V = final velocity = 3.0×10⁸m/s
- U = initial velocity = 0m/s
- g = acceleration due to gravity = 9.8m/s
- t = time taken in seconds= ?.
Hence,
- 3.0×10⁸ = 0 + 9.8t
- t = 3.0×10⁸/9.8
- t = 30612244 seconds
Hence, since 86400 seconds make one day;
t = 30612244/86400 = 354.3 days.
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