Question

what is the balls vertical velocity at t = 1 second? justify your answer.

Explanation:

Step1: Identify the vertical - motion formula

The formula for vertical velocity in free - fall is $v_y = v_{0y}-gt$, where $v_{0y}$ is the initial vertical velocity, $g$ is the acceleration due to gravity ($g = 9.8\ m/s^{2}$), and $t$ is the time.

Step2: Determine the initial vertical velocity

From the problem, $v_{0y}=40\ m/s$.

Step3: Calculate the vertical velocity at $t = 1\ s$

Substitute $v_{0y}=40\ m/s$, $g = 9.8\ m/s^{2}$, and $t = 1\ s$ into the formula: $v_y=40 - 9.8\times1$.
$v_y=40 - 9.8=30.2\ m/s$.

Answer:

$30.2\ m/s$