A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)= -16 + 120t + 6, where h(t) represents the heights, in feet, and t is the time, in seconds. Find the average rate of change from the initial launch to the maximum height. (f(b) - f(a)/b-a)

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?