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
myrzilka [38]
3 years ago
5

The graph below shows the position of an ant as it crawls over a flat picnic blanket. The total time for the ant to go from the

start to the end position takes 1 minute and 45 seconds.
What is the average speed and average velocity of the ant?

A.) Average speed is 0.200 cm/s and average velocity is 0.0988 cm/s to the upper right.
B.) Average speed is 0.152 cm/s and average velocity is 0.910 cm/s to the upper right.
C.) Average speed is 0.975 cm/s and average velocity is 1.95 cm/s to the upper right.
D.) Average speed is 0.276 cm/s and average velocity is 0.136 cm/s to the upper right.

Physics
1 answer:
Mice21 [21]3 years ago
5 0

The average speed of the ant is 0.276 cm/s and the average velocity is 0.136 cm/s.

The correct answer is option D.

In the given graph, we can deduce the following;

  • the total time of the motion, = 1 mins + 45 s = 60 s + 45 s = 105 s

The average speed of the ant is calculated as;

average \ speed = \frac{total \ distance }{total \ time }

The total distance from the graph is calculated as follows;

  • first horizontal distance from 2 cm to 8 cm = 8 - 2 = 6 cm
  • first upward distance from 3 cm to 5 cm = 5 - 3 = 2 cm
  • second horizontal distance from 8 cm to 6 cm = 8 - 6 = 2 cm
  • second upward distance from 5 cm to 12 cm = 12 - 5 = 7 cm
  • third horizontal distance from 6 cm to 13 cm = 13 - 6 = 7 cm
  • fourth downward distance from 12 cm to 9 cm = 3 cm
  • final horizontal distance from 13 cm to 15 cm = 2cm

The total distance = (6 + 2 + 2 + 7 + 7 + 3 + 2) cm = 29 cm

average \ speed = \frac{total \ distance }{total \ time } = \frac{29 \ cm}{105 \ s} = 0.276 \ cm/s

The average velocity is calculated as the change in displacement per change in time.

The displacement is the shortest distance between the start and end positions.

  • This shortest distance is the straight line connecting the start and end position. Call this line P
  • From the end position at x = 15 cm, draw a vertical line from y = 9 cm, to y = 3 cm. The displacement = 9 cm - 3 cm = 6 cm
  • Also, draw a horizontal line from start at x = 2 cm to x = 15 cm. The displacement = 15 cm - 2 cm = 13 cm

Notice, you have a right triangle, now calculate the length of  line P.

                                                ↓end

                                                ↓

                                                ↓ 6cm

                                                ↓

  start -------------13 cm------------

Use Pythagoras theorem to solve for P.

P^2 = 6^2 + 13^2\\\\P^2 = 36 + 169\\\\P^2 = 205\\\\P= \sqrt{205} \\\\P = 14.318 \ cm

The average velocity of the ant is calculated as;

average \ velocity= \frac{\Delta displacemnt  }{total\ time }= \frac{14.318 \ cm}{105 \  s} = 0.136 \ cm/s  \\\\

Thus, the average speed of the ant is 0.276 cm/s and the average velocity is 0.136 cm/s.

Learn more here: brainly.com/question/589950

You might be interested in
Your backpack has a mass of 8 kg. You drop it from a height of 1.3m. How much work is done by gravity as the backpack falls?
olga_2 [115]

Answer:

The answer is C.

Explanation:

I guessed and it was right

6 0
3 years ago
Read 2 more answers
How to find the magnitude and direction of a resultant velocity?
mixas84 [53]
Find the horizontal components vcos30 ...one goes right and one goes left so they cancel each other.
Find vertical components vsin30.....there are two of them.... so 2vcos30....hey presto... resultant velocity = 2vCos30
5 0
3 years ago
Despite a very strong wind, a tennis player
Gnoma [55]

Answer:

Option 5. 1 and 3

Solution:

The only forces acting on the tennis ball after it has left contact with the racquet and the instant before it touches the ground are the force of gravity in the downward direction and the force by the air exerted on the ball.

The ball after it left follows the path of trajectory and as it moves forward in the horizontal direction the force of the air acts on it.

In the whole projectile motion of the ball, the acceleration due to gravity acts on the ball thus the force of gravity acts on the ball in the downward direction  before it hits the ground.

6 0
3 years ago
What crop is least likely to do well when the temperatures are very hot?
torisob [31]

a. Sweet corn and possibly d. okra.

3 0
3 years ago
Unpolarized light with an average intensity of 845 W/m2 moves along the x-axis when it enters a Polarizer A with a vertical tran
horsena [70]

Answer:

θ = 36.2º

Explanation:

When light passes through a polarizer it becomes polarized and if it then passes through a second polarizer, it must comply with Malus's law

         I = I₀ cos² tea

The non-polarized light between the first polarized of this leaves half the intensity, with vertical polarization

          I₁ = I₀ / 2

          I₁ = 845/2

          I₁ = 422.5 W / m²

In this case, the incident light in the second polarizer has an intensity of I₁ = 422.5 W / m² and the light that passes through the polarizer has a value of

I = 275 W / m ²

      Cos² θ = I / I₁

      Cos θ = √ I / I₁

      Cos θ = √ (275 / 422.5)

     Cos θ = 0.80678

     θ = cos⁻¹ 0.80678

     θ = 36.2º

This is the angle between the two polarizers

8 0
3 years ago
Other questions:
  • Near the surface of Earth an electric field points radially downward and has a magnitude of approximately 100 N/C. What charge (
    8·1 answer
  • RHOOLIOTTO<br> How much mass would be needed to produce 2.7 x 1016 J?
    10·1 answer
  • Two point charges attract each other with an electric force of magnitude F.a. If one charge is reduced to one-third its original
    10·1 answer
  • A 3.00-kg model airplane has velocity components of 5.00 m/s due east and 8.00 m/s due north. What is the plane’s kinetic energy
    15·2 answers
  • Which statement best describes a scientific law?
    5·1 answer
  • A 100-n object and a 50-n object are placed on scales a and b respectively inside an elevator ascending with constant velocity
    6·1 answer
  • You throw a ball into the air. Which two forces cause the ball to gradually stop moving upward and then fall back to Earth?
    8·2 answers
  • Please Answer these quick!!!! I WILL GIVE BRAINLIEST<br> Do as many as you can!
    9·1 answer
  • Which statement is correct about waves?
    14·1 answer
  • Please explain what is a Energy is
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!