Question

a motorcycle starts from rest and accelerates for 4 seconds at 3 m/s². calculate the velocity of the motorcycle at each second in the table below. time (s) velocity (m/s) 0 s 0 m/s 1 s m/s 2 s m/s 3 s m/s 4 s m/s

Explanation:

Step1: Recall velocity - time 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 $t = 1\ s$

Substitute $t = 1\ s$, $v_0 = 0\ m/s$ and $a = 3\ m/s^{2}$ into the formula $v=v_0 + at$. So $v=0+3\times1=3\ m/s$.

Step3: Calculate velocity at $t = 2\ s$

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

Step4: Calculate velocity at $t = 3\ s$

Substitute $t = 3\ s$, $v_0 = 0\ m/s$ and $a = 3\ m/s^{2}$ into the formula. So $v=0+3\times3 = 9\ m/s$.

Step5: Calculate velocity at $t = 4\ s$

Substitute $t = 4\ s$, $v_0 = 0\ m/s$ and $a = 3\ m/s^{2}$ into the formula. So $v=0+3\times4=12\ m/s$.

Answer:

Time (s)	Velocity (m/s)
1 s	3 m/s
2 s	6 m/s
3 s	9 m/s
4 s	12 m/s