# math

This question has a few parts to it. I tried but not sure if they are correct.
A boy standing on top of a building in Albany throws a water balloon up vertically. The height (h) in feet, of the water is given by the equation
h(t)=-16t^2+64t +192. where the time( in seconds) after he threw the water balloon. Answer the following. Show work and explain you answer.
a) How high is the building? h(t)=16(t^2 +4t+12)
h(t)=16(t+2)(t+6) this is as far as I can go, help please
b)What is the maximum height of the balloon?
h(t)16(t+2)(t+6)
0 t=-2 t=-6 so 0 is what I got
c)What is the value of t when the balloon hits the ground?
0=16(t+2)(t+6)
0=16(t+8t+12)
0=144t+192 t=-192/144
Please help since I tried but I don't think I did them correctly and I want to understand where I went wrong. thank you

1. 👍 0
2. 👎 0
3. 👁 296
1. a) the balloon is at the top of the building at time zero
... h = 192

b) the time for max height is at the vertex of the parabola
... on the axis of symmetry ... x = -b / 2a ... t = -64 / (2 * -16)
... plug the value of t into the equation to find max height

c) set h equal to zero, and use the quadratic formula to find t
... you want the positive solution

1. 👍 0
2. 👎 0
2. ok so the work for a)
h(0)=-16(0)^2 +64(0)+192
h(0)=192

b) h(2)=-16(2)^2+64(2)=192
h(2)=-64+128+192
h(2)=64+192 so h(2)=256

c) 0=-64plus/minus the square root64^2-4(-16)(192)/-32
o=-64plus/minus the square root of 4096+12288/-32
0=-64 plus/minus 128/-32 so it is -2 or 6 so the answer is 6
Thank you for your explanation. Hopefully these are correct now

1. 👍 0
2. 👎 0

## Similar Questions

Choose the best definition for the following term: variable A. A letter that holds the place for some unknown value in mathematics*** B. A process where you must look for terms that have identical variable parts and then combine

2. ### math

A string is cut into two parts.The ratio of lengths of the string and the smaller part is six times the ratio of lengths of the smaller and the larger parts .Find the ratio of the lenghths of the larger and the smaller parts of

3. ### World History

Egypt’s recorded history began around 10,000 BC with the Old Kingdom (1). Egyptians had developed a means of writing called hieroglyphics (3). Hieroglyphics used pictographs to convey meaning (3). Which critiques the factual

4. ### Math

Latoya's Receipe 2 1/5 parts cranapple juice 1 4/5 parts lemonade ____________________________________________________________ Parker's Recipe 2 1/2 parts cranapple juice 3 1/2 parts lemonade For each recipe, write a ratio that

1. ### World History

Which option critiques the factual accuracy of the summary? Read the summary. The earliest humans originated in northern Europe (1) and traveled south via land bridges to Asia and Africa (2). As people spread throughout the world,

2. ### major parts of speech

select the incorrect statement. a. Major parts of speech are called content words because the carry most of the meaning fo communication b.Minor parts of speech are called function words because thay are concerned with meaning c.

3. ### math

Amanda's punch recipe : 7 parts mixed fruit juice, 2 parts of lemonade [Question : how much lemonade will she need to make 180 fluid ounces of punch ?]A .140 Fluid ounces or B. 40 Fluid ounces C. 36 Fluid ounces D. 60 Fluid ounces

4. ### World History

Jews were persecuted in Europe for hundreds of years even before the 20th century (1). Thousands were massacred by crusading knights on their way to the Holy Land (2). Another common practice was to force Jews into sections of

1. ### Algebra 1

You are making up your own mix of concrete to patch a set of stairs. In order to have the proper mix, you need to mix 1 part of Portland cement with 2 parts of sand and 3 parts of gravel. A. How many total parts are in one batch

2. ### History

Jews were persecuted in Europe for hundreds of years even before the 20th century (1). Thousands were massacred by crusading knights on their way to the Holy Land (2). Another common practice was to force Jews into sections of

3. ### Science

Why is it rare for the soft parts of an organism to become a fossil? A. the soft parts take a long time to decay. B. the soft parts can be eaten by other animals.* C. the soft parts cannot be buried in sediment. D. the soft parts