Question

you drop a small stone down a stair well. it takes 2.6 s seconds to hit the ground floor. how many meters high are you above ground level?

Explanation:

Step1: Identify the formula

We use the free - fall formula $h = v_0t+\frac{1}{2}gt^2$. Since the stone is dropped ($v_0 = 0$), the formula simplifies to $h=\frac{1}{2}gt^2$, where $g = 9.8m/s^2$ and $t = 2.6s$.

Step2: Substitute the values

Substitute $g = 9.8m/s^2$ and $t = 2.6s$ into the formula $h=\frac{1}{2}gt^2$. So $h=\frac{1}{2}\times9.8\times(2.6)^2$.

Step3: Calculate the result

First, calculate $(2.6)^2=6.76$. Then, $\frac{1}{2}\times9.8\times6.76 = 4.9\times6.76=33.124m$.

Answer:

$33.124$