A triangular crate is slided along the inclined face of the tower as shown in the figure. The crate starts with a initial velocity of 10 m/s and slides till B on the inclined surface and it traces a parabolic path to strike the ground at C. If the crate is of 4 kg mass and the height of the tower is 30 m, find the horizontal distance the crate travel's to strike the ground from the starting of its travel.

1) 31.9 m
2) 24.5 m
3) 31.5 m
4) 23.9 m

Taking the point A as the datum :
T_A + V_A = T_B + V_B
1/2(4)(10)^B2 = 1/2(4)V_B² - 4(10)
VB2 = 140 (m/s)2
V_B = 10.95 m/s

The horizontal equation of motion from B to C :
s= s_o + v_ot
x = 0 + 10.95 cos30^o(t)
Also the vertical equation of motion from B to C :
s = s_o + v_ot + 1/2 a_ct²
0 = 20 - 10.95(1/2)t + 1/2(-9.81)t²
9.81t² + 10.95t - 40 = 0
t = 1.54 s

Substuting in for x we have :
x = 10.95 cos30^o(t) = 14.6 m
The horizontal distance from A to B is 10cos30^o and the total horizontal distance travelled is
x = 14.6 + 17.32 = 31.9 m

So the total horizontal distance travelled from point A to point C is 31.9 m