1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew11 [14]
3 years ago
8

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flig

ht is given by s(t)-6+2t+t2, where s(t) is in feet and t is in (a) Find the velocity at t- 4 seconds. (Worth 5 points) sec/Pt Answer (b) Find the instant the balloon is 50 feet above the ground.
Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Step-by-step explanation:

A weather balloon is released and rises vertically such that its distance s (t) above the ground during the first 10 sec of flight is given by :

s(t)=6+2t+t^2 ...(1)

(a) We need to find velocity at t = 4 seconds

Differentiate equation (1) wrt t.

v=\dfrac{ds}{dt}\\\\v=\dfrac{d(6+2t+t^2)}{dt}\\\\v=2+2t

At t = 4 seconds,

v=2+2(4)\\\\=10\ ft/s

At t = 4 seconds, the velocity is 10 ft/s.

(b) When the balloon is 50 feet above the ground,

6+2t+t^2=50

We need to find t.

6+2t+t^2=50\\\\t^2+2t-50+6=0\\\\t^2+2t-44=0

It is a quadratic equation,

t = 5.708 and t = -7.708

Neglecting negative time, the instant time is 5.708 seconds.

You might be interested in
Math help please? w/ only two questions.
Law Incorporation [45]
Maybe: 1. When I play basketball i wear cletes. 2. If a quadrilateral figure has four right angles then it is a square <span> </span> my best guess. Let me know if it helps
3 0
3 years ago
Triangle ABC is a right triangle and cos(22.6)
Anon25 [30]
Wat r u asking about this problem

5 0
3 years ago
2617 to the nearest thousand
Sliva [168]

Answer:

3000

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T
Evgen [1.6K]
Plug 50 into y and find x.

5x + 10 (50) = 800
5x + 500 = 800
5x = 800 - 500
5x = 300
x = 300 ÷ 5
x = 60
3 0
3 years ago
Read 2 more answers
Describe how to find the selling price of an item that has been marked up 110%
ANEK [815]

Answer:

Step-by-step explanation:

The original price on the item is the price before a markup of 110% of this original price:

original price + 1.10(original price) = 2.10(original price)

6 0
3 years ago
Other questions:
  • Can someone help me with number 18
    8·1 answer
  • What two intergers does 7 fall into
    7·2 answers
  • Joanne's Dress Shop received an invoice dated July 25 for $1,400, with terms of 2/10, 1/15, n/60. On August 8, Joanne's Dress sh
    8·2 answers
  • For the past three months Grace used her cell phone for 42 minutes,62 minutes and 57 minutes. How many minutes would she have to
    8·1 answer
  • A bag contains eight blue marbles six red marbles and four green marbles what is the probability of selecting a red marble repla
    7·1 answer
  • What is the equation of the line that passes through the point(-2 -1) and has a slope of 1
    9·2 answers
  • Roberta wants to create 17 ounces of new hand lotion, with a minimum 15% concentration of beeswax, from a mixture of two lotions
    11·1 answer
  • HELP!!!! geometry/trig pls help me thank u
    7·1 answer
  • PLEASE HELP ASAP
    7·1 answer
  • If the lengths of the legs triangle are 18 inches and 24 inches, what is the length of the hypotenuse?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!