Question

solve the second equation of motion ,,, completely

Answer 1

Let the distance travelled by the body be “s”.
We know that
Distance = Average velocity ×Time

Also, Average velocity = (u+v)/2

.: Distance (t) = (u+v)/2 × t …….eq.(1)

Again we know that:
v = u + at
substituting this value of “v” in eq.(2), we get

s = (u+u+at)/2 × t
=>s = (2u+at)/2 × t
=>s = (2ut+at^2)/2
=>s = 2ut/2 + at^2/2

or s = ut +1/2 at^2

This is the 2nd equation of motion.