A charged particle of mass m and charge q is shot inside a parallel-plate capacitor with a potential difference V between the plates. The distance between the plates is d, and the particle enters exactly in the middle and parallel to the plates. As the particle advances inside the capacitor, its trajectory is deflected down. Calculate how long it takes the particle to land on the bottom plate.

To place a communications satellite into a geosynchronous orbit at an altitude of 22,240 mi above the surface of the earth, the satellite first is released from a space shuttle , which is in a circular orbit at an altitude of 185 mi, and then is propelled by an upper-stage booster to its final altitude. as the satellite passes through a, the booster's motor is fired to insert the satellite into an elliptic transfer orbit. the booster is again fired at b to insert the satellite into a geosynchronous orbit. knowing that the second firing increases the speed of the satellite by 4810ft/s, determine (a.) the speed of the satellite as it approaches b on the elliptic transfer orbit, (b.) the increase in speed resulting from the first firing at a.