How long does it take a car to cross a 30.0 m wide intersection
after the light turns green, if the car accelerates from rest at a
constant 2.00 m/s2.

5.48s

Explanation:

d=30m

a=2m/s²

We also have: d=at²/2, from where we get t=sqrt(2d/a).

t=sqrt(2×30/2)=sqrt(30)=5.48s

the aurora is formed when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere. these collisions result in countless little bursts of light, called photons, which make up the aurora.

auroras are generated by charged solar particles hitting molecules in earth's atmosphere. this usually happens in high latitudes, because our planet’s magnetic field tends to funnel these particles toward the poles. that’s why it can be experienced in northern ohio.