SOLUTION: An object is fired straight up from the top of a 200-foot-tower at a velocity of 80 ft/s. Find the maximum height the object will reach. (Use the formula: S(t)=-16t^2+ vot+so where

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Question 1051151: An object is fired straight up from the top of a 200-foot-tower at a velocity of 80 ft/s. Find the maximum height the object will reach. (Use the formula: S(t)=-16t^2+ vot+so where vo is the initial velocity and so is the initial height.)
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


Use the formula for the t-value
of the maximum height



-------------------
Plug this result back into formula to get




The maximum height is 300 ft
------------------------------
Here's the plot:


Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
For more similar solved problems see the lessons
    - Problem on a projectile moving vertically up and down
    - Problem on an arrow shot vertically upward
    - Problem on a ball thrown vertically up from the top of a tower
    - Problem on a toy rocket launched vertically up from a tall platform
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook under the topic "Projectiles launched/thrown and moving vertically up and dawn".


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