A ball starts from rest and accelerates at 0.470 m/s2 while moving down an inclined plane 8.90 m long. When it reaches the bottom, the ball rolls up another plane, where, after moving 15.20 m, it comes to rest. (a) What is the speed of the ball at the bottom of the first plane? m/s (b) How long does it take to roll down the first plane? s (c) What is the magnitude of the acceleration along the second plane? m/s2 (d) What is the ball's speed 8.30 m along the second plane? m/s

no. dot product   =0 when vecs at right angles

area of focus

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.