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Question
3 m/s² for ten seconds. its ssing velocities. ) in your answer, there should be 4s 5s 6s 7s 8s 9s 10s +12m/s +15m/s +18m/s +21m/s +24m/s +27m/s m/s m/s
Step1: Recall velocity - time formula
The formula for velocity with constant acceleration is $v = v_0+at$, where $v$ is the final velocity, $v_0$ is the initial velocity, $a$ is the acceleration and $t$ is the time. Given $a = 3\ m/s^{2}$.
Step2: Calculate velocity at $t = 10s$
We know that the velocity at $t = 4s$ is $v_4=12\ m/s$. Using the formula $v = v_0+at$, we can consider the initial - time as $t = 4s$ and $v_0 = 12\ m/s$. For $t = 10s$ (6 seconds after $t = 4s$), with $a = 3\ m/s^{2}$, we have $v=v_0 + a\Delta t$. Here, $\Delta t=10 - 4=6s$. Then $v=12+3\times6$.
$v = 12 + 18=30\ m/s$.
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$+30\ m/s$