1. An object moves along the x axis according to the equation x=3.00t 2 -2.00t+3.00, where x is in meters and t is in second. Determine
a) Average speed between t=2.00s and t=3.00 s
b) Instantaneous speed at t=2.00s and t=3.00 s
c) Average acceleration between t=2.00s and t=3.00 s
d) Instantaneous acceleration at t=2.00s and t=3.00 s
e) At what time is the object at rest?
2. A parallel plate capacitor of area 0.3m^2 holds equal but opposite charges of magnitude 30 micro coulombs on either side. Assuming that we can neglect any edge effects.
a.) What is an electric field between the plates? Towards which plate is it directed?
b.) what is an electric force acting on an electron between the plates? Towards which plate is it directed?
3. You are at a rock concert, standing 11.9 m from one of the loudspeakers. Based on the pain in your ears, you approximation the decibel level to be about 102 dB at this location. You are worried that this intensity level may be harmful to your ears and result in a degradation of your hearing in years to come, so you want to move farther away from the loudspeaker to reduce the sound to a "dull roar" at a decibel level of 82.7 dB. From your present location, how much farther away from loudspeaker would you have to move to reach this reduced decibel level?