Answer 1—The equations for constant acceleration are:

 v = a × t

 p = v × t

 p = 0.5 × a × t²

 where a is the acceleration, v is the velocity, p is the position, and t is time.

You know that at a position of 2 m, the velocity needs to be 45 m/s, so you need to combine the first and last equations in order to solve for acceleration and time.

This represents over 50 G (1 G = 9.8 m/s², the acceleration of gravity at the Earth’s surface).

Contributor: David Tweed