The vertical acceleration the rocket should have so that his apparent weight is equal to his true weight on earth is 8.2 m/s².
The given parameters;
acceleration due to gravity on moon, g = 1.6 m/s²
The true weight of the rocket is calculated from Newton's second law of motion;
F = ma
Apparent weight on moon = true weight on Earth
mg + ma = mG
where;
G is the acceleration due to gravity on Earth
m(a + g) = mG
a + g = G
a = G - g
a = 9.8 - 1.6
a = 8.2 m/s²
Thus, the vertical acceleration the rocket should have so that his apparent weight is equal to his true weight on earth is 8.2 m/s².
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