Question

an object starts from rest and accelerates at +3 m/s² for ten seconds. its velocity at each second is shown. fill in the missing velocities. **make sure to include + or - signs (unless zero) in your answer, there should be no spaces in between anything. time (s) 0s 1s 2s 3s 4s 5s 6s velocity (m/s) 0m/s +3m/s +9m/s +12m/s +15m/s

Explanation:

Step1: Recall velocity - acceleration formula

The formula for velocity $v = v_0+at$, where $v_0$ is the initial velocity, $a$ is the acceleration and $t$ is the time. Here $v_0 = 0\ m/s$ and $a=+ 3\ m/s^{2}$.

Step2: Calculate velocity at $t = 2s$

Substitute $t = 2s$, $v_0=0\ m/s$ and $a = +3\ m/s^{2}$ into the formula $v=v_0 + at$. So $v=0+3\times2=+6\ m/s$.

Step3: Calculate velocity at $t = 6s$

Substitute $t = 6s$, $v_0 = 0\ m/s$ and $a=+3\ m/s^{2}$ into the formula $v=v_0+at$. So $v=0 + 3\times6=+18\ m/s$.

Answer:

+6m/s
+18m/s