Alice and bob are doing a space race from earth to the moon which is d 384000 km far away. Alices spaceship flies with a constant speed of v = 500 km h . Bobs spaceship starts slowly but accelerates constantly with a = 1.4 km h2 .
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Explanation:
Alice flies at a constant speed therefore we can easily get the time she takes to cover the 384000 km from the earth to the moon.
V = 500 km/h
Time = Distance / speed
Time = 384000/500 = 768 hours
Alice takes 768 hours to travel to the moon.
As for Bob since he is moving under acceleration we need to use a kinematics equation for the motion.
a = 14 km/h²
S = 384000 km
u = 0
We will use the following kinematics equation as follows :
S = ut + 1/2at²
384000 = 0 + 0.5 × 14 × t²
384000 = 7t²
t² = 384000/7
t² = 54857.74
t = 234.22 hours
Bob takes 234.22 hours to reach the moon.
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