Question

s=ut+1/2at²
solve the equation​

Answer 1

Explanation:

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Answer 2

There are in fact just TWO dynamics equations

Acceleration = Velocity Change / Time

Or: a=(v-u)/t more usually written as v=u+at

and Distance = Average Speed X Time

s = t (u+v)/2 usually written as that.

If you substitute for v from Eq.1 into Eq.2 you get

s = t(u + u+at)/2which simplifies s = t (2u + at)/2

and goes further to s = ut + at²/2

The other suvat equations are derived by substitution in the same way, giving

v² = u² + 2as

s = vt - 1/2 at²

You could also sketch the v-t graph (a trapezium) and work out its area (a rectangle plus a triangle) and get

s = ut [the rectangle, base=t and height=u] + 1/2 t at [the triangle base=t and height=at]