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
svp [43]
3 years ago
11

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.

Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = \frac{y(b)-y(a)}{b-a}

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2.

(a)

(i) average speed = \frac{y(2)-y(1)}{2-1}

=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}

=50.42 m/s

(ii) average speed = \frac{y(1.5)-y(1)}{1.5-1}

=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}

=51.35m/s

(iii) average speed = \frac{y(1.1)-y(1)}{1.1-1}

=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}

=52.094m/s

(iv) average speed = \frac{y(1.01)-y(1)}{1.01-01}

=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}

=52.2614
m/s

(v) average speed = \frac{y(1.001)-y(1)}{1.001-01}

=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}

=52.27814
m/s

(b) y(1)=56(1)-1.86(1)^2

=56-1.86

= 54.14 m/s

You might be interested in
The vertex of this parabola is at (-3, 6). Which of the following could be its equation?
12345 [234]
Nice, already in vertex form
y=a(x-h)^2+k
(h,k) is vertex

therfor since (-3,6) is vertex
we are looking for something like
y=a(x-(-3))^2+6 simplified to
y=a(x+3)^2+6


A is ansre

5 0
3 years ago
Read 2 more answers
Hi can anyone plz help me with this and can you explain how you got it ​
zloy xaker [14]

Answer:

What to prove, solve for?

6 0
3 years ago
Read 2 more answers
Math help help help answer all 4 pls
serious [3.7K]

Answer:

a) 2,350,000,000

b) 25,000,000

c) B

Step-by-step explanation:

a) 2350 X 1,000,000 = 2,350,000,000

b) 25 X 10^6 = 25,000,000

c) sqrt(90000) =300

7 0
3 years ago
Read 2 more answers
Choose the correct inequality based on the number line below
Kryger [21]

Answer:

D.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which equation listed below, when solved, shows how to find the circumference of a circle if the diameter is 6 inches? Use 3.14
dangina [55]

Answer:

C = π(6)

C = 6π

C = 18.84

Step-by-step explanation:

The circumference is the distance around the circle. It relates the number of times the diameter will encircle the circumference as 3.14 or π. As a result, the formulas for the circumference of a circle are C = 2πr or C = πd. The information given is the diameter so use C = πd by substituting d = 6.

C = π(6)

C = 6π

C = 18.84

6 0
3 years ago
Other questions:
  • Mikes cat weighs 12 Pounds 9 Ounces. How many ounces does Mikes cat weigh?
    10·1 answer
  • Kayla wants to use the Babylonian method to estimate to the nearest hundredth. Her initial estimate is 6.9. What is her estimate
    14·2 answers
  • _____+349=1250 and 865-____=347<br><br> HELP
    11·1 answer
  • 1. What is the equation of the line in slope-intercept form?
    13·2 answers
  • Members of a charity group are having a bake sale. They plan to sell chocolate chip
    10·2 answers
  • Consider the following system of equations
    7·1 answer
  • The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promo
    11·1 answer
  • ___ A warm front brings warmer weather with light precipitation <br><br> A.true<br> B.false
    14·1 answer
  • The distance from Hawthorne to Huntington Beach, on a map, is 0.75 inches. The scale on the map says that 2 in = 175 miles. Appr
    14·1 answer
  • HELP ME PLEASE I DONT KNOW HOW TO DO THIS
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!