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
viva [34]
3 years ago
12

Please assist me with #5, 6, 7, 8​

Mathematics
1 answer:
Leona [35]3 years ago
3 0

Answer:

5a. -0.4 m/s²

5b. 290 m

6. 12.9 s

7. 100 s

8. 17.2 km/hr

Step-by-step explanation:

5. "While approaching a police officer parked in the median, you accelerate uniformly from 31 m/s to 27 m/s in a time of 10 s.

a. What is your acceleration?

b. How far do you travel in that time?"

Given:

v₀ = 31 m/s

v = 27 m/s

t = 10 s

Find: a and Δx

v = at + v₀

(27 m/s) = a (10 s) + (31 m/s)

a = -0.4 m/s²

Δx = ½ (v + v₀) t

Δx = ½ (27 m/s + 31 m/s) (10 s)

Δx = 290 m

6. "If a pronghorn antelope accelerates from rest in a straight line with a constant acceleration of 1.7 m/s², how long does it take for the antelope to reach a speed of 22 m/s?"

Given:

v₀ = 0 m/s

v = 22 m/s

a = 1.7 m/s²

Find: t

v = at + v₀

(22 m/s) = (1.7 m/s²) t + (0 m/s)

t = 12.9 s

7. "A 1200 kg airplane starts from rest and moves forward with a constant acceleration of 5 m/s² along a runway that is 250 m long. How long does it take the plane to travel the 250 m?"

Given:

v₀ = 0 m/s

a = 5 m/s²

Δx = 250 m

Find: t

Δx = v₀ t + ½ at²

(250 m) = (0 m/s) t + ½ (5 m/s²) t²

t = 100 s

8. "During a marathon, a runner runs the first 10 km in 0.58 hours, the next 10 km in 0.54 hours and the last 10 km in 0.62 hours.  What is the average speed of the runner during that marathon?"

This isn't a constant acceleration problem, so there's no need for a chart.

Average speed = total distance / total time

v = (10 km + 10 km + 10 km) / (0.58 hr + 0.54 hr + 0.62 hr)

v = 30 km / 1.74 hr

v = 17.2 km/hr

You might be interested in
Find the sale price of a $50 bookshelf that is on sale for 15% off.
enot [183]

Answer:

You will pay $42.50

Step-by-step explanation:

You will pay 50-7.5 which gives you 42.50

5 0
2 years ago
What are the first three terms of the sequence...plz help pt.1​
svetlana [45]

a_{n} \:  =  \: 2(a_{n - 1})^{2} \\ a_{1} = 4 \: (given) \\ a_{2} = \: 2(a_{2 - 1})^{2}  \\  = 2(a_{ 1})^{2}   \\  = 2 \times  {4}^{2}  \\  = 32 \\  \\ a_{3} = \: 2(a_{3 - 1})^{2}  \\  = 2(a_{ 2})^{2}   \\  = 2 \times  {32}^{2}  \\  = 2 \times 1024 \\  = 2048

so first 3 terms are

4, 32, 2048

8 0
3 years ago
Read 2 more answers
What is <br> (2ab-a+2) - (-ab-2)
Greeley [361]

Step-by-step explanation:

iknow but its hard to expalin

8 0
2 years ago
I’m not sure what to do, this was what I got. Someone please help and solve problem #14 in the picture. Thanks!
mars1129 [50]

Answer:

  • x = 8
  • AM = BM = 16

Step-by-step explanation:

Your problem setup is correct. The triangle is isosceles, so the marked segments are the same length.

  3x - 8 = 2x

You can solve this by subtracting 2x (from both sides) ...

  x - 8 = 0

Then adding 8 (to both sides):

  x = 8

MB = MA = 2x = 16.

4 0
3 years ago
For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\
kkurt [141]
An inverse function is a function that reverses another function, so we have a function called:

p(x)

Then, the inverse function will be as follows:

p^{-1}(x)

Given that y = p(x), we need to isolate x in terms of y:

y =  x^{2} -9
∴ y+9 = x^{2}

So:

x=+\sqrt{y+9} and x=-\sqrt{y+9}

therefore, exchanging variables x and y:

y=+\sqrt{x+9} and y=-\sqrt{x+9}
p^{-1}(x)=+\sqrt{x+9} and p^{-1}(x)=-\sqrt{x+9}

Which are the figures shown below.

7 0
3 years ago
Other questions:
  • The median and mean<br> PLZ HELP
    11·1 answer
  • 7. The pair of polygons is similar. Find the value of x.
    14·1 answer
  • 4k + 15 greater than -2k + 3
    15·1 answer
  • Finley's pumpkin had a mass of 6.56.56, point, 5 kilograms (\text{kg})(kg)left parenthesis, start text, k, g, end text, right pa
    7·1 answer
  • A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. 39.5
    8·2 answers
  • Which will result in a difference of squares?
    10·2 answers
  • PLEASE HELP
    15·2 answers
  • 2. Given that the radius of the Earth is 6340 Km. calculate the Surface Acer of earth <br>​
    8·1 answer
  • How do you solve for r. -2r-5=18
    11·2 answers
  • 1. Find the Surface Area of the Rectangular<br> Prism.<br> 5 ft<br> 4 Ft<br> 3 ft
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!