# A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 36t + 10. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?

1 answer

###### Question:

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = –16t2 + 36t + 10. a. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. b. What is the ball’s maximum height?

## Answers

check the picture below.so, the maximum height is reached at the parabola's vertex, where x = how many seconds it took, y = how hight it went.[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lccclll} h = &{{ -16}}t^2&{{ +36}}t&{{ +10}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)[/tex][tex]\bf \left(-\cfrac{36^2}{2(-16)}~~,~~10-\cfrac{36^2}{4(-16)} \right)\implies \left( \cfrac{1296}{32}~~,~~10+\cfrac{81}{4} \right) \\\\\\ \left( \cfrac{81}{2}~~,~~\cfrac{121}{4} \right)\implies \left(\stackrel{\textit{how many seconds}}{40\frac{1}{2}}~~,~~\stackrel{\textit{how many feet up}}{30\frac{1}{4}} \right)[/tex]

#### Similar Solved Questions

2 answers

### How are simple carbohydrates able to form larger macromolecules

How are simple carbohydrates able to form larger macromolecules...

1 answer

### After primetime television stations broadcast late news and comedy talk shows ,. How is this suppose too be corrected?.

after primetime television stations broadcast late news and comedy talk shows ,. How is this suppose too be corrected?....

1 answer

### 1. Are the graphs of y = 3x - 2 and y = - 3x + 2 parallel, coinciding, perpendicular or none of these? Explain.

1. Are the graphs of y = 3x - 2 and y = - 3x + 2 parallel, coinciding, perpendicular
or none of these? Explain....

1 answer

### Steve and Sally have $120. If it is partitioned in the ratio 4:1 and Steve receives the lesser amount. how much money will Sally get?

Steve and Sally have $120. If it is partitioned in the ratio 4:1 and Steve receives the lesser amount. how much money will Sally get?...

2 answers

### Write the repeating decimal 4.1363636 as a fraction.

Write the repeating decimal 4.1363636 as a fraction....

1 answer

### Describe the narrator and his purpose in the general prologue in at least 250 words

Describe the narrator and his purpose in the general prologue in at least 250 words...

1 answer

### Find the slope of the line passing through the given points or the given line.

find the slope of the line passing through the given points or the given line....

1 answer

### Divides the power of government between central and state governments

Divides the power of government between central and state governments...

1 answer

### Excerpted from The First Men in the Moon by H.G. Wells He had his watch out as I came up to him. He had a chubby, rubicund face with reddish brown eyes—previously I had seen him only against the light. “One moment, sir,” said I as he turned. He stared. “One moment,” he said, “certainly. Or if you wish to speak to me for longer, and it is not asking too much —your moment is up—would it trouble you to accompany me?” “Not in the least,” said I, placing myself beside him. “My habits are regular. My

Excerpted from The First Men in the Moon by H.G. Wells
He had his watch out as I came up to him. He had a chubby, rubicund face with reddish brown eyes—previously I had seen him only against the light. “One moment, sir,” said I as he turned. He stared. “One moment,” he said, “certainly. ...

1 answer

### What agreements were made between William and Mary and the English aristocrats .... someone pls answer asap

What agreements were made between William and Mary and the English aristocrats .... someone pls answer asap...

1 answer

### If someone has more Liabilities than Assets, they have a negative net worth. Question 4 options: a. True b. False

If someone has more Liabilities than Assets, they have a negative net worth.
Question 4 options:
a. True
b. False...

2 answers

### Members of one kind of organism in a ecosystem

members of one kind of organism in a ecosystem...

1 answer

### M Company uses the percentage of sales method to account for its uncollectible accounts. On December 31, 2018, M has $1,800,000 in sales and 60% of these sales were in cash. M has a $2,000 credit balance in its allowance for doubtful account. Past experience suggested that 0.5% of credit sales are uncollectible. Requirements [You must show your work/steps of how you arrive at your answers] Question 1: What is the amount that M should report as its estimated bad debt expenses for year 2018

M Company uses the percentage of sales method to account for its uncollectible accounts. On December 31, 2018, M has $1,800,000 in sales and 60% of these sales were in cash. M has a $2,000 credit balance in its allowance for doubtful account. Past experience suggested that 0.5% of credit sales are u...

1 answer

### Imagine a patient came into your medical practice. What are symptoms that, collectively, would indicate a possible respiratory problem? Describe at least three symptoms, and include at least one objective measure and one subjective measure. (For Anatomy, please help!!)

Imagine a patient came into your medical practice. What are symptoms that, collectively, would indicate a possible respiratory problem? Describe at least three symptoms, and include at least one objective measure and one subjective measure.
(For Anatomy, please help!!)...

1 answer

### The side length of a square is increased by 50%. By what percent is the area increased?

The side length of a square is increased by 50%. By what percent is the area increased?...