A rocket is launched upward so that its distance, in feet, above the ground after t seconds is represented by the function below. What is its maximum height? h(t)=−16t2+320t

Answers

Answer 1

Answer:

Answer: 1600 feet.

Step-by-step explanation:

Given : A rocket is launched upward so that its distance, in feet, above the ground after t seconds is represented by the function $h(t)=-16t^2+320t$

To find : its maximum height.

First we differentiate the given function , we get

$h'(t)=(2)(-16)t+320=-32t+320$

Put $h'(t)=0$ , we get

$-32t+320=0\n\n\Rightarrow\ t=(-320)/(-32)=10$

Hence, at t=10 , rocket achieves its maximum height.

$\text{Maximum Height =}h(t)=-16\left(10\right)^(2)+320\left(10\right)\n\n=-1600+3200=1600$

Hence, its maximum height = 1600 feet.

Answer 2

Answer:

Answer:

1600 ft

Step-by-step explanation:

We are given that a rocket is a launched upward so that its distance(feet) above the ground after t seconds is represented by the function

$h(t)=-16t^2+320t$

We have to find the maximum height.

Substitute h(t)=0

$-16t(t-20)=0$

$t=0,t-20=0\implies t=20$

When t=0 it means the rocket is at ground launch.

When t= 20 s.

Total time taken by rocket=20 s.

Half of the time taken to reach maximum height and half of the time taken to reach ground back.

Therefore, time taken by rocket to reach maximum height= $(20)/(2)=10s$

Substitute t=10 in given function

Then we get

h(10)=-16(10)^2+320(10)=-1600+3200=1600 ft[/tex]

Hence, the maximum height=1600 ft

Related Questions

Sheila can ride her bicycle 6000 meters in 15 minutes. How far can she ride her bicycle in 2 minutes.
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hours of burning, a candle has a height of 25.4 centimeters. After 23 hours of burning, its height is 19.8 centimeters. What is the height of the candle after 22 hours?
Suppose that two cards are randomly selected from a standard 52-card deck. (a) what is the probability that the first card is a queen and the second card is a queen if the sampling is done without replacement? (b) what is the probability that the first card is a queen and the second card is a queen if the sampling is done with replacement? g
80 POINTS MATHIn the diagram at the right, in which position are the tips of the scissors farther apart? Explain your reasoning..
29 + 15x = -x - 3. Simplified

What is the 7th term in the series? 15,35,55

Answers

5 is the answer just because counting the comas

Helpi need this in the next 30 minutes!

Answers

Answer:

answer: c

Step-by-step explanation:

the experiment land 4 of 15 times on Q making the experiment 4/15 and the chances of landing on Q is 1/5

In the diagram below, AB | CD, AD || BC, mZCDE = 45° andmZC = 73º. Find mZADE.
450
B
E
А

Answers

Answer:

The measure of angle ADE is equal to 62 degrees.

Step-by-step explanation:

Firstly, I want to remind you that the sum of the interior angles in a quadrilateral are 360 degrees. Now, we are given that CD || BA and CB || DA, which means that this quadrilateral is a parallelogram. This is important because we know that the opposite angles in a parallelogram are congruent, which means that angle C is congruent to angle A and angle B is congruent to angle D. Therefore, the measure of angle A is also 73 degrees. Next, we can represent angle D as x, which means that angle B is equal to x, so the sum of angle D and B is 2x. Finally, we can set up an equation where we solve for the value of x, and then subtract it with 45 degrees:

2x + 2(73) = 360

2x + 146 = 360

2x = 214

x = 107 = B = D

Now, we can subtract the measure of angle D with 45 degrees to get the measure of angle ADE:

ADE = 107 - 45

ADE = 62

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answers

Answer:

122 Degrees

Step-by-step explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1) + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2 = 122 degrees

Therefore, the measure of angle 2 is 122 degrees

Jack has a summer job caddying at a golf course. Jack earns $120a week. By rounding his weekly income to the nearest hundred
dollars, find a reasonable estimate for his total income during the
12 week summer.

A) $700
B) $800
C) $1200
D) $1700

Answers

1200 as you would round it down to 100 a week so you would do 100x12

Find the value of x

Answers

Answer:

$x = 70$

Step-by-step explanation:

the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees.

Now,

102+146+158+120+124+x=720

or,650+x=720

or,x=70

Therefore The value of X is 70 degree.

no x’s have no value

Other Questions

38 = y/2. What equals y?

What is the measure of angle d? A. d=59 B. d=114 C. d=55 D. d=66

The solution of the equation x2-6x=0 is ?

A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of 45 students from Pennsylvania had an average score of 580, whereas a sample of 38 students had an average score of 530. The sample standard deviations for Pennsylvania and Ohio are 105 and 114 respectively. Does the study suggest that the SAT math score for students in Pennsylvania and Ohio differ