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:

grav potential energy

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.