SOLUTION: 1. A rock is thrown upward from the edge of a cliff. The rock follows the equation below. S = 20 + 64t – 16t2 What is the greatest height above the ground that this rock will g

Algebra.Com
Question 966488: 1. A rock is thrown upward from the edge of a cliff. The rock follows the equation below.
S = 20 + 64t – 16t2
What is the greatest height above the ground that this rock will go?

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A rock is thrown upward from the edge of a cliff. The rock follows the equation below.
S = 20 + 64t – 16t2
---------
s(t) = -16t^2 + 64t + 20
Max ht is the vertex of the parabola
At t = -b/2a = -64/-32 = 2 seconds
s(2) = -64 + 128 + 20
= 84 feet

RELATED QUESTIONS

A rock is thrown upward from the edge of a cliff. The rock follows the equation below:... (answered by Alan3354)
[ A rock is thrown upward from the edge of a cliff. The rock follows the equation below.... (answered by TimothyLamb)
The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/s from a... (answered by ewatrrr)
The height s, in feet, of a rock thrown upward at an initial speed of 64 ft/sec from a... (answered by josmiceli)
A small rock is thrown vertically upward with a speed of 18 m/s from the edge of the roof (answered by addingup,ikleyn)
A rock is thrown upward with a velocity of 25 meters per second from the top of a 20... (answered by josmiceli,Boreal)
A rock is thrown upward from the top of a 250-foot cliff with a velocity of 14 feet per... (answered by ankor@dixie-net.com)
A rock is thrown upward with a velocity of 12 meters per second from the top of a 34... (answered by ikleyn)
A rock is thrown upward with a speed of 48 feet per second from the edge of a cliff 400... (answered by solver91311,ikleyn)