Answer:
2.39 revolutions
Explanation:
As she jumps off the platform horizontally at a speed of 10m/s, the gravity is the only thing that affects her motion vertically. Let g = 10m/s2, the time it takes for her to fall 10m to water is
[tex]h = gt^2/2[/tex]
[tex]10 = 10t^2/2[/tex]
[tex]t^2 = 2[/tex]
[tex]t = \sqrt{2} = 1.414 s[/tex]
Knowing the time it takes to fall to the pool, we calculate the angular distance that she would make at a constant acceleration of 15 rad/s2:
[tex]\theta = \alpha t^2/2[/tex]
[tex]\theta = 15 * 2/2 = 15 rad[/tex]
As each revolution is 2π, the total number of revolution that she could make is: 15 / 2π = 2.39 rev
