When a softball player swings a bat, the amount of energy E(t), in joules, that is transferred to the bat can be approximated by the function

Question

E(t) = −279.67t2 + 82.86t
where 0 ¡Ü t ¡Ü 0.3 and t is measured in seconds. According to this model, what is the maximum energy of the bat? Round to the nearest tenth of a joule.

_______ joules

Answer 1

E(t) is just a parabola. I'm sure you know how to find the vertex, where E is a maximum.