There are four traffic lights on a stretch of road and the distance between each traffic light is 300 m. There is a 10-s lag time between successive green lights: The second light turns green 10 s after the first light turns green, the third light turns green 10 s after the second light does (and, thus, 20 s after the first light turns green), and so on. Each light stays green for 15 s. Having watched this sequence for some time, you understand that you can drive through the stretch of road at a range of constant speeds. You drive through the first light right whenit turned green. What is the fastest speed that you can drive through the stretch of road without running any red lights

Aria drove to the store, did some shopping, and then came home. during maria's trip, when was her displacement equal to zero?

An charge with mass m and charge q is emitted from the origin, (x,y)=(0,0). a large, flat screen is located at x=l. there is a target on the screen at y position y(h), where y(h) > 0. in this problem, you will examine two different ways that the charge might hit the target. ignore gravity in this problem. 1.assume that the charge is emitted with velocity v(0) in the positive x direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive y direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l. 2.now assume that the charge is emitted with velocity v(0) in the positive y direction. between the origin and the screen, the charge travels through a constant electric field pointing in the positive x direction. what should the magnitude e of the electric field be if the charge is to hit the target on the screen? express your answer in terms of m, q, y(h), v(0), and l.

Two identical stars with mass m orbit around their center of mass. each orbit is circular and has radius r, so that the two stars are always on opposite sides of the circle. (a) find the gravitational force of one star on the other. (b) find the orbital speed of each star and the period of the orbit. (c) how much energy would be required to separate the two stars to infinity?