Average acceleration = (change in speed) / (time for the change)
The missile's change in speed is (5,000 - 0) = 5,000 m/s
Average acceleration = (5,000 m/s) / (10 sec)
= 500 m/s² (about 51 Gs)
Inconveniently, this isn't one of the choices on the list. Is there something wrong, either with the choices or with my solution ?
No. Relax. Everything is OK.
500 meters is the same thing as 0.5 kilometer. So my answer can also be written as 0.5 km/s² . That doesn't change anything, and it IS one of the listed choices.
The average acceleration is <em>0.5 km/sec² (d)</em> .
The lack of an atmosphere means convection cannot happen on the moon. Therefore, there is no form of heat dissipation on regions in direct sunlight. In addition, the lack of an atmosphere means there is no greenhouse effect on the moon. This is why regions facing away from sunlight are very cold.
We have that F=ma from the 2nd Newton law where F is the force, m is the mass and a is the acceleration. Suppose we have that F' is the new force and m' is the new mass. Then, we have that a'=F'/m' still, by rearranging Newton's law. We are given that F'=2F and m'=m/2. Hence,

But now, we have from F=ma, that a=F/m and we are given that a=1m/s^2.
We can substitute thus, a'=4a=4*1m/s^2=4m/s^2.