Question

an object with an initial velocity of 0 m/s undergoes an acceleration of -2m/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.

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 $a=- 2\ m/s^{2}$.

Step2: Calculate velocity at $t = 2s$

Substitute $t = 2s$, $v_0 = 0\ m/s$ and $a=-2\ m/s^{2}$ into the formula $v=v_0 + at$. So $v=0+( - 2)\times2=-4\ m/s$.

Step3: Calculate velocity at $t = 3s$

Substitute $t = 3s$, $v_0 = 0\ m/s$ and $a=-2\ m/s^{2}$ into the formula $v=v_0+at$. So $v=0+( - 2)\times3=-6\ m/s$.

Step4: Calculate velocity at $t = 4s$

Substitute $t = 4s$, $v_0 = 0\ m/s$ and $a=-2\ m/s^{2}$ into the formula $v=v_0+at$. So $v=0+( - 2)\times4=-8\ m/s$.

Answer:

-4m/s
-6m/s
-8m/s