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Cadets graduating from military school usually toss their
Chapter 8, Problem Review(choose chapter or problem)
Cadets graduating from military school usually toss their hats high into the air at the end of the ceremony. One cadet threw his hat so that its distance d(t) in feet above the ground t seconds after it was thrown was \(d(t)=-16 t^{2}+30 t+6\).
a. Find the distance above the ground of the hat 1 second after it was thrown.
b. Find the time it takes the hat to hit the ground. Give an exact time and a one-decimal-place approximation.
Questions & Answers
QUESTION:
Cadets graduating from military school usually toss their hats high into the air at the end of the ceremony. One cadet threw his hat so that its distance d(t) in feet above the ground t seconds after it was thrown was \(d(t)=-16 t^{2}+30 t+6\).
a. Find the distance above the ground of the hat 1 second after it was thrown.
b. Find the time it takes the hat to hit the ground. Give an exact time and a one-decimal-place approximation.
ANSWER:Step 1 of 2
Equation for distance:
\(d(t)=-16 t^{2}+30 t+6\)
(a) Distance above the ground of hat 1 second after it was thrown:
Substitute t = 1s in the equation for distance:
\(\begin{array}{l}
d(1)=-16+30+6 \\
d=20
\end{array}\)
Thus, after 1s the hat will react 20 feet above the ground.