a cyclist going downhill is accelerating at 1...

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