The Pacific Plate moves to the northwest at an average rate of 10 cm per year. Hawaii is in the middle of the Pacific Plate, 6,600 kilometers southeast of Japan, which is on the edge of several adjacent plates. If the Pacific Plate continues to move at the same rate and in the same direction, when will Hawaii collide with Japan? Using the variable t for time, write and solve an equation.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?