The pilot of an airplane traveling 45 m s wants to drop supplies to flood victims isolated on a patch of land 160 m below. The supplies should be dropped when the plane is how far from the island?

257.13 m from the island

Explanation:

Using the equations of motion

uᵧ = vertical component of the initial velocity = 0 m/s

g = 9.8 m/s²

y = 160 m

Time of flight = ?

y = uᵧt + gt²/2

160 = 0 + 4.9t²

t² = 32.65

t = 5.714 s

Note uₓ = horizontal component of the initial velocity = 45 m/s

Range of/horizontal distance covered by the dropped package = uₓ t = 45 × 5.714 = 257.13 m

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.