# How long would it take spacecraft to reach the nearest star at 98% of the speed of light?

Apr 12, 2018

$4329$ years, $216$ days

#### Explanation:

our nearest star, Proxima Centauri, $4 , 243$ light years away.

this means that at the speed of light ($3 \cdot {10}^{8} m / s$) it would take $4 , 243$ years to get there.

travelling at 98% the speed of light, it would take $4 , 243 \cdot \frac{1}{0.98}$ years.

$\frac{4243}{0.98} = 4329.591836 \ldots$, or $4329 \frac{29}{49}$

$\frac{29}{49}$ years is $\frac{29}{49} \cdot 365.25$ days, or $216$ days (to the nearest day)

this means that it would take the spacecraft $4329$ years and $216$ days to reach Proxima Centauri, travelling at 98% the speed of light