Answer:
2.5 s, 5 m
Explanation:
The equations for the horizontal and vertical position of Lukalu are:
[tex]x(t) = 8t\\y(t) = -16t^2 + 100[/tex]
we can find the time it takes her to reach the ground by requiring that the vertical position becomes zero:
y(t) = 0
So we find:
[tex]0=-16t^2 +100\\16t^2 = 100\\t=\sqrt{\frac{100}{16}}=2.5 s[/tex]
The horizontal distance of Lukalu instead will be given by the equation for the horizontal position, substituting t = 2.5 s:
[tex]x=8t = 8 \cdot 2.5 s =5 m[/tex]
