Question #d1a37

Oct 1, 2017

I got $55.6 m$

Explanation:

I would impose that the initial velocity is zero (....drops) so I use the relationship:
${v}_{f}^{2} = {v}_{i}^{2} + 2 a \left({y}_{f} - {y}_{i}\right)$
Where:
${v}_{i} = 0$ the initial velocity;
${y}_{f} = 0$
$g = - 9.8 \frac{m}{s} ^ 2$
${v}_{f} = 33 \frac{m}{s}$
So we get:
${33}^{2} = {0}^{2} - 2 \cdot 9.8 \left(0 - {y}_{i}\right)$
$1089 = 19.6 {y}_{i}$
So:
${y}_{i} = \frac{1089}{19.6} = 55.56 \approx 55.6 m$