Identical guns fire identical bullets horizontally at the same speed from the same height above level planes, one on the Earth and one on the Moon. Which of the following three statements is/are true?
I. The horizontal distance travelled by the bullet is greater for the Moon.
II. The flight time is less for the bullet on the Earth.
III. The velocities of the bullets at impact are the same.

Question

Infinity Learn · Accepted Answer

The figure can be represented as follows:The expressions $$areh=12gt2$$;$$t=2hg$$;$$x=ut=2hgu$$ or t∝$$1g$$;x∝$$1gFor$$ moon, gmoon $$=g6$$, substituting in Eq. (1) and comparing, we gettMoon $$=6t$$>tEarth ,xMoon $$=6x$$>xEarth Hence, Statements I and II both are correct. Now, vx $$=$$ u, $$sovy=gt=g2hg=2gh$$ or v∝g. Since gMoon $$=g/6$$, we have vMoon

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