SOLUTION: Please help me with this problem :Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the functio

Question 1034543: Please help me with this problem :Elaine shoots an arrow upward at a speed of 32 feet per second from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) = -16t2+32t + 28, where t is the time in seconds.
a. What is the maximum height that the arrow reaches?
b. How long does it take the arrow to reach its maximum height?
c. How long would it take before the arrow reached the ground? Round your answer to the hundredths place.
Found 2 solutions by fractalier, ikleyn:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
a) It reaches a maximum height when the velocity is zero.
v(t) = 0 = h'(t) = -32t + 32 ==> t=1 second
b) At that time, h(1) = -16 + 32 + 28 = 44 feet
c) To find this, we let h(t) = 0 and solve for t...thus
-16t^2 + 32t + 28 = 0
-4t^2 + 8t + 7 = 0
4t^2 - 8t - 7 = 0
and
t = 2.66 seconds
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.
Was solved in https://www.algebra.com/algebra/homework/quadratic/Quadratic_Equations.faq.question.1034230.html

and explained with all details.

RELATED QUESTIONS
For numbers 6: Elaine shoots an arrow upward at a speed of 32 feet per second from a... (answered by ikleyn)
April shoots an arrow upward into the air at a speed of 32 feet per second from a... (answered by richwmiller)
Applications of Quadratic Functions 1. The hypotenuse of a right triangle is 32 feet... (answered by ikleyn)
April shoots an arrow upward into the air at a speed of 64 feet per second from a... (answered by ikleyn,ankor@dixie-net.com)
April shoots an arrow upward into the air at a speed of 64 feet per second from a... (answered by Boreal)
April shoots an arrow upward into the air at a speed of 64 ft per second from a platform... (answered by ewatrrr,Alan3354)
A basketball player shoots a basketball with a speed of 50 feet per second at an angle... (answered by Fombitz)
Please, please help me, I have been working on this problem for 1 1/2 hours and cannot... (answered by stanbon,edjones)
Please help me solve this. An arrow is shot vertically upward from a platform 35 ft. high (answered by stanbon)