A ball is thrown upward from 3 feet iff the ground at an initial velocity of 64 feet per second. What is the maximum height the

Question

Romashka [77]

3 years ago

13

A ball is thrown upward from 3 feet iff the ground at an initial velocity of 64 feet per second. What is the maximum height the

ball reaches?

Mathematics

1 answer:

Elza [17] · Answer 1 · 2022-02-15T09:38:20+03:00

I found h max = 64 feet

Explanation: Ok...probably you can do this differently but I would try to find the vertex of the parabola describing the trajectory: 1) derive it: h ` ( t ) = 64 − 32 t 2) set derivative equal to zero: 64 − 32 t = 0 t = 64 32 = 2 sec 3) use this value of t into your trajectory: h ( 2 ) = h max 64 ⋅ 2 − 16 ⋅ 4 = 64 feet .