SOLUTION: Please help me solve this problem. Thanks in advance! A baseball is hit so that its height in feet after t seconds is s(t) = -16t^2 + 44t + 4. (a) How high is th

Question 816537: Please help me solve this problem. Thanks in advance!
A baseball is hit so that its height in feet after t seconds is
s(t) = -16t^2 + 44t + 4.
(a) How high is the baseball after 1 second?
(b) Find the maximum height of the baseball.

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
s(t) = -16t^2 + 44t + 4
---
the above quadratic equation is in standard form, with a=-16, b=44, and c=4
---
to solve the quadratic equation, plug this:
-16 44 4
into this: https://sooeet.com/math/quadratic-equation-solver.php
---
from the solver above, the quadratic vertex is a maximum at ( t= 1.375, s(t)= 34.25 )
---
The maximum height of the baseball is 34.25 ft
the baseball achieves that maximum height after 1.375 seconds
---
Height of the baseball after 1 second:
s(1) = -16 + 44 + 4
s(1) = 32 ft
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Convert fractions, decimals, and percents:
https://sooeet.com/math/fraction-decimal-percent.php
---
Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php
RELATED QUESTIONS
a baseball is hit so that its height in feet after t seconds is s(t)=-16tsquared +44t+4... (answered by nerdybill)

. A baseball is hit so that its height in feet after t seconds is s(t) = -16t2 +... (answered by DrBeeee,Alan3354)

A baseball is hit so that its height in feet after t seconds is s(t)=-5t^2+26t+5 a)How... (answered by ikleyn)

Got half of a problem done not sure how to complete it, A baseball is hit so that its... (answered by ikleyn,math_tutor2020)

A baseball is hit so that its height, h ( in feet), t seconds after it is hit can be... (answered by lwsshak3)

Please help me solve this word problem. If an object is projected from a height of 48 ft (answered by Boreal)

A baseball is hit into the air, and its height s in feet after t seconds is given by s(t) (answered by ikleyn)

A baseball is hit into the air, and its height s in feet after t seconds is given by... (answered by ikleyn)

Please help with this problem, this is what I have so far: Problem: Height of a... (answered by Alan3354,scott8148)