Lukalu is rappelling off a cliff. The parametric equations that describe her horizontal and vertical position as a function of time are x(t) = 8t and y(t) = -16t + 100. How long does it take her to reach the ground? How far away from the cliff is she when she lands?
To find out how long it takes Lukalu to reach the ground, we need to find the time when y(t) = 0 (since y represents her vertical position).
Setting y(t) = 0, we get:
-16t + 100 = 0
16t = 100
t = 100/16
t = 6.25 seconds
So, it takes Lukalu 6.25 seconds to reach the ground.
To find out how far away from the cliff she is when she lands, we can calculate her horizontal position at t = 6.25 seconds using the equation x(t) = 8t:
x(6.25) = 8(6.25)
x(6.25) = 50
Therefore, Lukalu is 50 units away from the cliff when she lands.