Answer:
79.5 m
Explanation:
Let t be the time taken to hit the surface of water and x be the horizontal distance traveled.
use II equation of motion in Y axis direction
h = uy t + 1/2 g t^2
- 60 = - 100 Sin 35 x t - 1/2 x 9.8 x t^2
-60 = - 57.35 t - 4.9 t^2
4.9 t^2 + 57.35 t - 60 = 0
[tex]t = \frac{-57.35\pm \sqrt{57.35^{2} + 4 \times 4.9 \times 60}}{2\times 4.9}[/tex]
By solving we get
t = 0.97 second
The horizontal distance traveled is
x = ux t
x = 100 Cos 35 x 0.97
x = 79.5 m
