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For numbers 6: Elaine shoots an arrow upward at a speed of 32 feet per second
from a bridge that is 28 feet high. The height of the arrow is given by the function h(t) =
-16t2 + 32t + 28, where t is the time in seconds.
How long would it take before the arrow reached the ground?
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To answer this question, you need to solve equation h(t) = 0, which is
-16t^2 + 32t + 28= 0.
Simplify it by dividing both sides by -4
4t^2 - 8t - 7 = 0,
then apply the quadratic formula
= = = = .
Of the two roots, reject the negative one and accept the positive value.
ANSWER. The arrow will reach the groind in = 2.66 seconds (rounded). ANSWER
Solved.
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In this site, there is a bunch of lessons on a projectile thrown/shot/launched vertically up
- 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
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.
Read them attentively and learn on how to solve this type of problems once and for all.
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".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.