Answer to Question #239975 in Physics for Lei

Question

Enchanted Kingdom’s EKstreme Tower ride has been popular for daredevils. A group of senior high school students decided to take on the challenge and conquer the ride. After reaching the top the students brace their selves for the drop that will take for 3.2 seconds. Solve for the final velocity and the height that have reached before the drop happened

Answer 1

Let's first find the height of the tower:

$$h=\dfrac{1}{2}gt^2=\dfrac{1}{2}\cdot9.8\ \dfrac{m}{s^2}\cdot(3.2\ s)^2=50.2\ m.$$

Finally, we can find the final velocity:

$$PE=KE,$$ $$mgh=\dfrac{1}{2}mv^2,$$ $$v=\sqrt{2gh}=\sqrt{2\cdot9.8\ \dfrac{m}{s^2}\cdot50.2\ m}=31.4\ \dfrac{m}{s}.$$