Problem solving- Complex Numbers and Roots
At a carnival, A new attraction allows contestants to jump off a springboard onto a platform to be launched vertically into the air. The object is to ring a bell located 20 feet overhead. The distance d(t)=16t^2-bt+20, where t is the time in seconds after leaving the platform, and b is the takeoff velocity from the platform.
1. Kate watches some of the contestants. She theorizes that if the platform lanches a contestant with a takeoff velocity of at least 32 ft./s the contestant can ring the bell.
a. Find the zeros for the function using 32 feet per second as the takeoff velocity.
B. Is Kate's theory valid?