Question

a rock is blown out of a volcano when it started to fall from its highest point at 9.5 seconds to hit the ground​

Answer 1

Answer:

The rock reaches a maximum height of 442.225 m and was thrown at a speed of 93.1 m/s

Explanation:

Vertical Launch

The rock is launched up with a certain speed vo, it reaches its highest point at a height h when the speed is zero, and then it stars a free-fall motion until it hits the ground at time t.

The maximum height is given by

$\displaystyle h=\frac{g\cdot t^2}{2}$

The rock takes the same time to reach this point as to return to the ground, thus we can calculate the maximum height

$\displaystyle h=\frac{9.8\cdot 9.5^2}{2}=442.225\ m$

The rock was thrown up at a speed

$v_o=gt=9.8\cdot 9.5=93.1 \ m/s$