contestada

Imagine you are on a spaceship that is under constant acceleration of 1g. If the spaceship was stationary at the start, approximately how many miles will you travel in one year?

Respuesta :

Answer:

3035281543986.976 mi

Explanation:

g = Acceleration due to gravity = 9.81 m/s²

a = Acceleration = g

Time taken

[tex]t=1\ y\\\Rightarrow t=365.25\times 24\times 60\times 60[/tex]

u = Initial velocity = 0

[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow s=0\times t+\dfrac{1}{2}\times 9.81\times (365.25\times 24\times 60\times 60)^2\\\Rightarrow s=4.8848\times 10^{15}\ m[/tex]

Converting to mi

[tex]1\ m=\dfrac{1}{1609.34}\ mi[/tex]

[tex]4.8848\times 10^{15}\ m=4.8848\times 10^{15}\times \dfrac{1}{1609.34}\ mi\\ =3035281543986.976\ mi[/tex]

Number of miles travelled in one year is 3035281543986.976 mi