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
PtichkaEL [24]
3 years ago
9

A mouse runs along a baseboard in your house. The mouse's position as a function of time is given by x(t)=pt2+qt, with p = 0.36

m/s2 and q = -1.20 m/s .
Determine the mouse's average speed between t=1.0s and t=4.0s
Physics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

0.60 m/s

Explanation:

The average velocity from t = a to t = b is:

v_avg = (x(b) − x(a)) / (b − a)

Given that x(t) = 0.36t² − 1.20t, and the time is from 1.0 to 4.0:

v_avg = (x(4.0) − x(1.0)) / (4.0 − 1.0)

v_avg = [(0.36(4.0)² − 1.20(4.0)) − (0.36(1.0)² − 1.20(1.0))] / 3.0

v_avg = [(5.76 − 4.8) − (0.36 − 1.20)] / 3.0

v_avg = [0.96 − (-0.84)] / 3.0

v_avg = 0.60

The average speed is 0.60 m/s.

You might be interested in
A 0.320 kg ball approaches a bat horizontally with a speed of 14.0 m/s and after getting hit by the bat, the ball moves in the o
katen-ka-za [31]

Answer:

<h2>42.67N</h2>

Explanation:

Step one:

<u>Given </u>

mass m= 0.32kg

intital velocity, u= 14m/s

final velocity v= 22m/s

time= 0.06s

Step two:

<u>Required</u>

Force F

the expression for the force is

F=mΔv/t

F=0.32*(22-14)/0.06

F=(0.32*8)/0.06

F=2.56/0.06

F=42.67N

The average force exerted on the bat 42.67N

4 0
3 years ago
What do earths system include
taurus [48]

<em>Answer:</em>

<em>The Atmosphere.</em>

<em>Explanation:</em>

<em>The Atmosphere contains all of the planets air, And without air we can't breathe so I think this would be a good answer for you to choose, have a nice day</em>

6 0
4 years ago
What is the Sl unit for speed
Akimi4 [234]

Answer: meter per second

Explanation: meter per second

Speed has the dimensions of distance divided by time. The SI unit of speed is the meter per second, but the most common unit of speed in everyday usage is the kilometer per hour or, in the US and the UK, miles per hour. For air and marine travel the knot is commonly used.

3 0
3 years ago
A pulley with the radius of 10.0 cm was connected to a motor with a massless
kogti [31]

Answer:

(i) -556 rad/s²

(ii) 17900 revolutions

(iii) 11250 meters

(iv) -55.6 m/s²

(v) 18 seconds

Explanation:

(i) Angular acceleration is change in angular velocity over time.

α = (ω − ω₀) / t

α = (10000 − 15000) / 9

α ≈ -556 rad/s²

(ii) Constant acceleration equation:

θ = θ₀ + ω₀ t + ½ αt²

θ = 0 + (15000) (9) + ½ (-556) (9)²

θ = 112500 radians

θ ≈ 17900 revolutions

(iii) Linear displacement equals radius times angular displacement:

s = rθ

s = (0.100 m) (112500 radians)

s = 11250 meters

(iv) Linear acceleration equals radius times angular acceleration:

a = rα

a = (0.100 m) (-556 rad/s²)

a = -55.6 m/s²

(v) Angular acceleration is change in angular velocity over time.

α = (ω − ω₀) / t

-556 = (0 − 15000) / t

t = 27

t − 9 = 18 seconds

8 0
3 years ago
The index of refraction for a certain type of glass is 1.641 for blue light and 1.603 for red light. When a beam of white light
exis [7]

Answer:

The angle between the emergent blue and red light is 0.566^{o}

Explanation:

We have according to Snell's law

n_{1}sin(\theta _{i})=n_{2}sin(\theta _{r})

Since medium from which light enter's is air thus n_{1}=1

Thus for blue incident light we have

1\times sin(40.05)=1.641\times sin(\theta _{rb})\\\\\therefore \theta _{rb}=sin^{-1}(\frac{sin(40.05)}{1.64})\\\\\theta _{rb}=23.10

Similarly using the same procedure for red light we have

1\times sin(40.05)=1.603\times sin(\theta _{rr})\\\\\therefore \theta _{rr}=sin^{-1}(\frac{sin(40.05)}{1.603})\\\\\theta _{rr}=23.66^{o}

Thus the absolute value of angle between the refracted blue and red light is

|23.66-23.10|=0.566^{o}

6 0
4 years ago
Other questions:
  • Alan always turns the aquarium light on before putting fish food into the tank. after a while, he notices that the fish swim to
    12·1 answer
  • The difference in energy () between vibrational energy levels is determined by the nature of the bond. If a photon of light poss
    15·1 answer
  • HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • Kinetic energy is _____.inversely proportional to mass and velocity directly proportional to mass and velocity directly proporti
    6·2 answers
  • A train travels 2km in 100 seconds. find the velocity of the train
    13·1 answer
  • Match each term to the best description
    5·1 answer
  • A 6.5 kg rock thrown down from a 120m high cliff with initial velocity 18 m/s down. Calculate
    13·1 answer
  • A man is standing on the shore of a beach, up to his knees in water. Every second two waves hit him. What is the frequency of th
    7·1 answer
  • In addition to the sources of error mentioned above, since the caliper jaws squeezed the flexible, rubber surface of the ball sl
    15·1 answer
  • Consider the common measurement speed = 55 mph. What is the magnitude quantity?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!