SOLUTION: A toy rocket is launched from the top of a building 144 feet tall at an initial velocity of 208 feet per second.
a) Give the function that describes the height of the rocket in
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Question 1140570: A toy rocket is launched from the top of a building 144 feet tall at an initial velocity of 208 feet per second.
a) Give the function that describes the height of the rocket in terms of time t.
b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet.
c) For what time interval will the rocket be more than 259 feet above ground level?
d) After how many seconds will it hit the ground?
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I have part A down as s(t)= -16t^2+208t+144 but I can't find out how to do part b which is needed for the rest of the parts. Help please!
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A toy rocket is launched from the top of a building 144 feet tall at an initial velocity of 208 feet per second.
a) Give the function that describes the height of the rocket in terms of time t.
b) Determine the time at which the rocket reaches its maximum height, and the maximum height in feet.
c) For what time interval will the rocket be more than 259 feet above ground level?
d) After how many seconds will it hit the ground?
--------------
I have part A down as s(t)= -16t^2+208t+144 but I can't find out how to do part b which is needed for the rest of the parts. Help please!
===================
It's a parabola.
The max height is the vertex.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
Look into 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
Very similar problems were solved there with all details and explanations.
These lessons are your samples and TEMPLATES.
Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.
Read them attentively and learn 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.
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