Question

A baseball is projected upward at 64 feet per second. It can be approximated by the equation -16t^2+64t. The baseball reaches it maximum height at the vertex. That can be gotten from x= −/2a . How long until the baseball reaches its full height? Note a quadratic equation can be written as ax^2+bx+c

Answer 1

f(t) = -16t²+64t

• t = number of seconds
• f(t) = height (in feet)

The x-coordinate(t) of the vertex can be found using formula
`(-b)/(2a)`, where:

• a = -16
• b = 64

Therefore the t-value of the vertex is:

`(-64)/(2(-16)) =(-64)/(-32) =2`

The baseball will reach its maximum height after two seconds.