Final answer:
To calculate the time, according to a timer on the space vehicle, you need to consider time dilation. Time dilation is the phenomenon where time appears to move slower for objects moving at high speeds compared to objects at rest. The correct answer is option d. 120 minutes.
Step-by-step explanation:
To calculate the time, according to a timer on the space vehicle, you need to consider time dilation. Time dilation is the phenomenon where time appears to move slower for objects moving at high speeds compared to objects at rest. The formula for time dilation is t' = t / sqrt(1 - (v^2/c^2)), where t' is the time experienced by the moving object, t is the time experienced by the observer on Earth, v is the velocity of the object, and c is the speed of light. In this case, the vehicle is traveling at 0.80c, so we can substitute the values and calculate the time.
t' = t / sqrt(1 - (0.80^2)) = t / sqrt(1 - 0.64) = t / sqrt(0.36) = t / 0.6
Let's say the physical activity requirement is 60 minutes. To find the time according to the timer on the space vehicle, we divide 60 minutes by 0.6.
t' = 60 / 0.6 = 100 minutes
Therefore, the correct answer is option d. 120 minutes.