Question

solve the following problems. show your work! dont forget your units. a water balloon is dropped from the top of stone mountain at an acceleration of 30 m/s². it takes 5 s to hit the ground? 25 m / s

Explanation:

Step1: Use the kinematic - equation

The kinematic equation for displacement is $s = ut+\frac{1}{2}at^{2}$, where the initial velocity $u = 0$ m/s (dropped), $a = 30$ m/s², and $t = 5$ s.

Step2: Substitute the values

Since $u = 0$ m/s, the equation simplifies to $s=\frac{1}{2}at^{2}$. Substitute $a = 30$ m/s² and $t = 5$ s into the equation: $s=\frac{1}{2}\times30\times5^{2}$.

Step3: Calculate the displacement

First, calculate $5^{2}=25$. Then, $\frac{1}{2}\times30\times25 = 15\times25=375$ m.

Answer:

375 m