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prove that s=ut+1/2at ^2​

Answer 1

Answer:

Hey♥️⚡

Acceleration, a(t) = a, where a is a constant.

Velocity, v(t) =integral a(t) dt = at + v_o, where v_o = initial velocity

Position, s(t) = integral v(t) dt = 1/2 a t^2 + v_o * t + s_o, where s_o = initial position. We may select s_o = 0, thereby yielding:

s(t) = v_o*t + 1/2 * a * t^2

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Answer 2

Answer:

Acceleration, a(t) = a, where a is a constant.

Velocity, v(t) =integral a(t) dt = at + v_o, where v_o = initial velocity

Position, s(t) = integral v(t) dt = 1/2 a t^2 + v_o * t + s_o, where s_o = initial position. We may select s_o = 0, thereby yielding:

s(t) = v_o*t + 1/2 * a * t^2