13) A ship drops out of warp speed near Earth at time t=0. To prevent hitting the Earth the ship must stop at a distance of at least 20,000 miles. The ships velocity with respect to time is v(t) = 1 √ t in miles per second. Find the maximum time in seconds that can elapse before the pilot has to slam on the brakes. Assume that the ship stops instantaneously.
Please use limits.
13) A ship drops out of warp speed near Earth at time t=0. To prevent hitting...
At time t = 0, two starships set out from their homebase on Earth, which they all agree is at x = 0. Both ships head directly for planet LV-426, which is infested with vicious aliens. According to earth controllers, LV-426 is 3 lightyears away. The starship Flyby travels at a constant speed 0.8 c; its mission is to take photos of the situation on LV-426 as it flies past the planet. The second ship, the Sulacco, travels at a...