Lukalu is rappelling off a cliff. the parametric equations that describe her horizontal and vertical position as a function of time are x ( t ) = 8 t and y ( t ) = − 16 t 2 + 100 and . how long does it take her to reach the ground? how far away from the cliff is she when she lands?

2.5 s, 5 m

Explanation:

The equations for the horizontal and vertical position of Lukalu are:

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:

The horizontal distance of Lukalu instead will be given by the equation for the horizontal position, substituting t = 2.5 s:

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