Question

How many days will it take a spaceship to accelerate from rest to the speed of light (3. 0×108m/s) with the acceleration g?.

Answer 1

The number of days it takes for a spaceship to accelerate from rest to the speed of light is; 354.3days

Acceleration and Speed

The acceleration, a of an object is it's change in velocity per unit time;

Hence, Time taken, T is given as;

• T = (v-u)/a

Since, a= g = 9.8m/s² and the spaceships starts from rest;

• T = 3×10⁸/9.8

• T = 30,612,244.9seconds.

However, the number of seconds in a day is;

• D = 24×60×60 = 86,400s.

Hence, Time , T in days is;

• T = (30,612,244.9/86400) days

T = 354.3days.

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