SOLUTION: Hi, I have two questions that i'm having problems with 1.Diagonal of a square. The diagonal of a square is 2 m longer than a side. Find the length of a side. If an object i

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Question 192982This question is from textbook
: Hi,
I have two questions that i'm having problems with
1.Diagonal of a square. The diagonal of a square is 2 m longer
than a side. Find the length of a side.
If an object is given an initial velocity of v0 feet per second
from a height of s0 feet, then its height S after t seconds is given
by the formula S=16t2+v0t+s0.
Question 2
Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth? This question is from textbook

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Two sides and a diagonal of a square form an isosceles right triangle. If the length of the side is s and the length of the diagonal is s + 2, then Pythagoras' theorem says:

Solve the quadratic for s. The negative root is extraneous and your answer is the positive root. I recommend that you leave your answer in radical form.

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Substitute the given values for initial velocity and initial height, then set the function equal to zero, because zero is the height when the ball hits the ground, then solve the quadratic for t.

Again, exclude any negative root -- the ball can't possibly return to the ground before you threw it.

John