Question

If we assume that a spaceship could accelerate from rest at a constant rate of 9.81 m/s², then how long would it take to reach 2% of the speed of light? (assume the speed of light = 3.0 x 10⁸ m/s)

Answer 1

6.12 × 10⁵ s

Step-by-step explanation:

v₀ = 0

a = 9.81 m/s²

v = 2% × 3.0 ×10⁸ m/s = 6 × 10⁶ m/s

v = v₀ + at

6 × 10⁶ = 0 + 9.81t

t = 6 × 10⁶ ÷ 9.81

= 6.12 × 10⁵ s