Consider the situation where you want to put a camera in a car, looking towards the front of the car. A car is roughly $2\mathrm{.}5$m wide. You have a camera with a $1$cm sensor with $2000$ pixels.

If you want the car to be at least $50$ pixels wide at $100$m$,$ what does your focal length need to be$?$ Give the answer in mm$.$ Be sure to identify which equation is relevant to the question before starting.

How many pixels would a car be in the image at $12\mathrm{.}5$m with the same focal length?

Given a $10$mm lens, do you need to make any adjustments for the scene to be in focus from $20-100$m$?($Clarification: you might need to make an adjustment if the change is bigger than $1$ in $100.)$ Identify which equation is relevant to the problem before answering.

$2.$ Do an internet search to find information about the response distributions for human rods and cones.

What percentage of our cones are sensitive to long wavelength $($red$),$ medium wavelength $($green$),$ and short wavelength $($blue$)?$

When you look at the response curves for the red, green, and blue cones, how would you describe the differences between the three?

Given the information above, explain why the Bayer pattern on camera sensors has two green sensors for every one blue or red sensor$.$