Answer to Question #187769 in Physics for Shenalei Obordo

Question

A coconut rolls of the cliff after falling from the tree. The cliff is 15 meters high. The coconut strikes the ground 10 meters away from the tip of the cliff. (a) How long does it take for the marble to reach the ground? (b) What is its initial speed with respect to x and y axis?

Answer 1

(a) Find how long it takes for the marble to reach the ground:

$$t=\sqrt{\frac{2h}{g}}=1.75\text{ s}.$$

(b) The initial speed with respect to x and y axis:

$$v_x=d/t=5.71\text{ m/s},\\ v_y=0\text{ m/s}.$$