Solve the equations of uniformly accelerated motion: enter any three of u, v, a, t and s and the remaining two are worked out.
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From the article Kinematics Equations (u, v, a, t, s) — Choosing the Right One.
Question: A car starts from rest and accelerates uniformly at 2 m/s² for 6 s. Find its final velocity and the distance covered.
List: u = 0, a = 2 m/s², t = 6 s. Asked: v, then s.
For v, displacement s is not involved → use equation 1:
v = u + at = 0 + (2)(6) = 12 m/s
For s, we now know u, a and t, and v is not needed → equation 2:
s = ut + ½at² = (0)(6) + ½(2)(6²) = 0 + ½(2)(36) = 36 m
Check with equation 4: s = ½(u + v)t = ½(0 + 12)(6) = (6)(6) = 36 m. ✔
Worked in full in Kinematics Equations (u, v, a, t, s) — Choosing the Right One.
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