Question: A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function s(t) = -16t 2 +

A projectile is fired vertically upward, and its height s(t) in feet after t seconds is given by the function s(t) = -16t2 + 800t + 600.

(a) From what height was the projectile fired?

(b) After how many seconds will it reach its maximum height?

(c) What is the maximum height it will reach?

(d) Between what two times (in seconds, to the nearest tenth) will it be more than 5000 ft above the ground?

(e) After how many seconds, to the nearest tenth, will the projectile hit the ground?

Step by Step Solution

★★★★★

3.46 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

st 16t 2 800t 600 a To find what height the projectile was fired we can find what the height was at ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related College Algebra Questions!

Q:

A small rocket is fired directly upward, and its height s in feet after t seconds is given by the function s(t) = -16t 2 + 88t + 48. (a) Determine the time at which the rocket reaches its maximum...

Q:

A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the...

Q:

A model rocket is fired vertically upward from rest. Its acceleration for the first three seconds is a (t) = 60t, at which time the fuel is exhausted and it becomes a freely falling body. Fourteen...

Q:

Hello Tutor Urgent Help Needed with the Calculus Question in the Pictures Below. Solution needed, Thank You! Where does sin x have a horizontal tangent line? Where does cos x have a value of zero?...

Q:

Chrome File Edit View History Bookmarks Profiles Tab Window Help G Q 8. Sat Jun 17 1:21 AM LB .." Courses Pearson MyLab and Mastering. X P. Do Homework - 3.1 Homework C Let f(x)={ | Chegg.com C...

Q:

Lastly. Fill in box with answer please 365 D D G gG193 * C irenejackson@stud.. C21 AVoice W W C@19 A Q Bing O quizlet ubmit Assignment Quiz 2: Functions IRENE JACKSON Question 9 - of 10 Step 1 of 1...

Q:

I only can put one number - is -1 or 4 nit sure what answer IKENC J Question 9 - of 10 Step 1 of 1 29:46:50 projectile is fired vertically upward from a height of 225 feet above the ground, with an...

Q:

A projectile is fired vertically upward into the air, its position (in feet) above the ground after t seconds is given by the function s(t) shown below. Use limits to determine the instantaneous...

Q:

Please answer Question 1 of 20 This question: 1 point(s) possible Submit test A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by...

Q:

help please! A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s(t) shown below. Use limits to determine the...

Q:

Name and describe the four basic organizational types.

Q:

Jay-Cee Corporation had 20,000 shares of $4 par value common stock outstanding on January 1. On January 20, the company purchased 2,000 of its stock for $16 per share. On July 3, the company reissued...

Q:

What are the main aims of reward management?

Q:

5. What is the need of venture capital in India? What is the status of venture capital in India?

Q:

In Exercises 103104, find the distance between each pair of points. If necessary, express answers in simplified radical form and then round to two decimal places. (-2, 3) and (3, -9)

Q:

In Exercises 95106, begin by graphing the standard cubic function, f(x) = x 3 . Then use transformations of this graph to graph the given function. r(x) = (x - 2) + 1

Q:

With aging, body fat increases and muscle mass declines. The line graphs show the percent body fat in adult women and men as they age from 25 to 75 years. Use the graphs to solve Exercises 99106. The...

Q:

Modern Artifacts can produce keepsakes that will be sold for $60 each. Nondepreciation fixed costs are $3,000 per year and variable costs are $30 per unit. a. If the project requires an initial...

Q:

Williams software has 7.9% coupon bonds on the market with 22 years to maturity. The bonds make semi annual payments and currently sell for 109% of par. A. What is the current yield on the bonds? B....

Q:

The IRS provides a toll-free helpline for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with tax payer calls and has...