A three storey building of height 100m is located on Earth and a similar building is also located on Moon. If two people jump from the top of these buildings on Earth and Moon simultaneously, when will they reach the ground and at what speed? (`g=10ms^(-2)`)

Explanation

For both persons, the Kinematic equations are the same, with `u=0,a_(c)=g` and `a_("moon")=(g)/(6)`. Then `a_(e)=g` and `a_(m)=(g)/(6)`
For a person on Earth, `V_("earth")=sqrt(2gh)=sqrt(2xx10xx100)`
Hence, `V_("earth")=sqrt2000ms^(-1)` givens the velocity at the ground, on Earth. Similarly, for a person on the Moon,
`V_("earth")=sqrt((2gh)/(6))=(sqrt2000)/(sqrt6)ms^(-1)`
The person on Earth reaches ground with greater velocity than the person on the.