SOLUTION: An object is thrown straight up from the roof's edge of a 48-foot building at an initial velocity of 32 ft/s. How long will it take to reach the ground?

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Question 1051153: An object is thrown straight up from the roof's edge of a 48-foot building at an initial velocity of 32 ft/s. How long will it take to reach the ground?
Answer by ikleyn(52824)   (Show Source): You can put this solution on YOUR website!
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An object is thrown straight up from the roof's edge of a 48-foot building at an initial velocity of 32 ft/s.
How long will it take to reach the ground?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The governing equation is 

h(t) = -16t^2 + 32t + 48,

where t is the time after throwing, h(t) is the object height (elevation over the ground surface in feet, 
32 is the initial velocity in ft/s, 48 is the initial elevation, 16 =  a is the half of the value 
of the free fall acceleration in ft/s^2.

We need to find the value of t for which h(t) = 0,  or

-16t^2 + 32t + 48 = 0.

Divide both sides by (-16). You will get

t^2 - 2t - 3 = 0.

Factor the left side

(t-3)*(t+1) = 0.

The positive root t = 3 is the time we are seeking for.
The other root is negative, so we ignore it.

Answer.  It will take 3 seconds for the onject to reach the ground.



Plot y =

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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