Question

why does (second) square occurs in the unit of acceleration?

Answer 1

Explanation: Acceleration is calculated by dividing the change in velocity by time. Since velocity can be measured in m/s and time can be measured in s , the unit is meters/sec/sec or m/s2 .

Answer 2

Assuming :- final velocity = v m/sec, initial velocity = u m/sec and time = t sec

We know from Newton's 1st equation of motion, that :-

=> v = u + at , where v is final velocity, u is initial velocity, t is time and a is acceleration.

=> a = (v - u)/t
=> a = (v m/sec - u m/sec)/t sec
=> a = {(v - u)/t} m/sec × 1/sec
=> a = {(v - u)/t} m/sec²