Abicyclist pedals along a straight road with velocity, v, given in the figure below. she starts 7 miles from a lake; positive velocities take her away from the lake and negative velocities take her toward the lake.

when is the cyclist farthest from the lake?

approximately how far away is she at this time? give a best estimate. (round your answer to the nearest whole number.)

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.