Question

How long would it take for the stick to reach the ground below?

Answer 1

3.01 s

Step-by-step explanation:

To calculate the time that the stick takes to reach the ground, we will use the following equation:

`y=v_0t+(1)/(2)gt^2`

Where y is the height of the bird, v0 is the initial velocity and g is the gravity.

So, replacing v0 = 0 m/s, y = 44.5 m, and g = 9.8 m/s², we get:

`\begin{gathered} 44.5=0t+(1)/(2)(9.8)t^2 \\ \\ 44.5=(1)/(2)(9.8)t^2 \\ \\ 44.5=4.9t^2 \\ \\ (44.5)/(4.9)=t^2 \\ \\ 9.08=t^2 \\ \\ √(9.08)=t \\ 3.01\text{ s = t} \end{gathered}`

Therefore, the stick reaches the ground after 3.01 s