a cyclist going downhill is accelerating at 1.2 m/s². if the final velocity of the cyclist is 16 m/s after…

a cyclist going downhill is accelerating at 1.2 m/s². if the final velocity of the cyclist is 16 m/s after 10 seconds, what is the cyclists initial velocity? 4 m/s 12 m/s 18 m/s 20 m/s

a cyclist going downhill is accelerating at 1.2 m/s². if the final velocity of the cyclist is 16 m/s after 10 seconds, what is the cyclists initial velocity? 4 m/s 12 m/s 18 m/s 20 m/s

Answer

Explanation:

Step1: Identify the formula

We use the kinematic - equation $v = u+at$, where $v$ is final velocity, $u$ is initial velocity, $a$ is acceleration and $t$ is time.

Step2: Rearrange the formula for initial velocity

$u=v - at$.

Step3: Substitute the given values

Given $v = 16\ m/s$, $a = 1.2\ m/s^{2}$, and $t = 10\ s$. Then $u=16-(1.2\times10)$.

Step4: Calculate the result

$u = 16 - 12=4\ m/s$.

Answer:

A. 4 m/s