Question

the elevators in landmark tower, in yokohama, japan, are among the fastest in the world. they accelerated upward at 3.6 m/s² for a time of 4.5 seconds to reach their final speed. if these elevators start at rest, what is their final speed?

Explanation:

Step1: Identify the relevant formula

We use the formula $v = v_0+at$, where $v$ is final - velocity, $v_0$ is initial - velocity, $a$ is acceleration and $t$ is time.

Step2: Determine the values of variables

Given that $v_0 = 0\ m/s$ (starts at rest), $a = 3.6\ m/s^2$ and $t = 4.5\ s$.

Step3: Substitute values into the formula

$v=0 + 3.6\times4.5$.
$v = 16.2\ m/s$.

Answer:

$16.2\ m/s$