Question

an object with an initial velocity of -25 m/s undergoes an acceleration of +5m/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 the velocity - time formula

$v = v_0+at$, where $v_0$ is the initial velocity, $a$ is the acceleration and $t$ is the time.

Step2: Calculate velocity at $t = 2s$

Given $v_0=- 25m/s$, $a = + 5m/s^2$ and $t = 2s$. Substitute into the formula: $v=-25 + 5\times2=-25 + 10=-15m/s$.

Step3: Calculate velocity at $t = 3s$

Substitute $v_0=-25m/s$, $a = 5m/s^2$ and $t = 3s$ into the formula: $v=-25+5\times3=-25 + 15=-10m/s$.

Step4: Calculate velocity at $t = 4s$

Substitute $v_0=-25m/s$, $a = 5m/s^2$ and $t = 4s$ into the formula: $v=-25+5\times4=-25 + 20=-5m/s$.

Answer:

-15
-10
-5