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
Sergeeva-Olga [200]
3 years ago
9

A taxi traveling along a straight section of road starts from rest, accelerating at 2.00 m/s^2 until it reaches a speed of 29.0

m/s. Then the vehicle travels for 87.0 s at constant speed until the brakes are applied, stopping the vehicle in a uniform manner in an additional 5.00 s. How long is the taxi in motion (in s)? ​What is the average velocity of the taxi for the motion described? (Enter the magnitude in m/s.)​
Physics
1 answer:
victus00 [196]3 years ago
8 0

Answer:

a) The taxi is 107 s in motion

b) The average velocity is 26.2 m/s

Explanation:

First, the car travels with an acceleration of 2.00 m/s². The equations for position and velocity that apply for the car are:

x = x0 + v0 t + 1/2 a t²

v = v0 + a t

where

x = position at time t

x0 = initial position

v0 = initial speed

t = time

a = acceleration

v = speed

Let´s calculate how much distance and for how long the taxi travels until it reaches a speed of 29.0 m/s:

Using the equation for velocity:

v = v0 + a t

v - v0 / a = t

(29.0 m/s - 0 m/s) / 2 m/s² = t

<u>t = 14.5 s</u>

Then, in the equation for position:

x = x0 + v0 t + 1/2 a t²

x = 0 + 0 + 1/2 * 2.00 m/s² * (14.5 s)²

<u>x = 210 m</u>

<u />

Then, the vehicle travels at constant speed for 87 s. The distance traveled will be:

x = v * t

x = 29.0 m/s * 87.0 s = <u>2.52 x 10³ m</u>

Lastly the car stops (v = 0) in 5 s. In this case, the car has a constant negative acceleration:

Using the equation for velocity:

v = v0 + a t

if v=0 in 5 s, then:

0 = 29.0 m/s + a * 5.00 s

a = -29.0 m/s / 5.00 s  

a = -5.80 m/s²

Using now the equation for the position, we can calculate how far has the taxi traveled until it came to stop:

x = x0 + v0 t + 1/2 a t²

x = 0 + 29.0 m/s * 5.00 s -1/2 * 5.80 m/s² * (5.00s)²

<u>x = 72.5 m</u>

a) The taxi has been in motion for:

Total time = 14.5 s + 87.0 s + 5.00s = <u>107 s</u>

Note that we have always used x0 = 0, then, we have calculated the displacement for each part of the trip.

Adding all the displacements, we will get the total displacement:

Total displacement = 210 m + 2.52 x 10³ m + 72.5 m = 2.80 x 10³ m

Average speed = total displacement / total time

<u>Average speed = 2.80 x 10³ m / 107 s = 26.2 m/s </u>

You might be interested in
How long will it take to travel 200 m traveling at 10 m/s? Follow example below.
polet [3.4K]

Answer:

variables  - d = 200m \: v = 10 m {s}^{ - 1}  \\ equation \:   - v =  \frac{d}{t}  \\ 10 = \frac{200}{t}  \\ cross \: multiply \\ 10t = 200 \\  \frac{10t}{10}  =   \frac{200}{10}  \\ t = 20s

It will take 10 seconds to travel 200m at a speed of 10m/s

Explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY.

4 0
2 years ago
Read 2 more answers
What type of material is wrapped around an object could cause the object to lose the most heat
Dmitrij [34]
<span>A sheet of copper could cause the object to lose the most amount of heat. Copper is an essential element and a good conductor of heat. Heat can transfer from one end of a piece of copper to the other end.</span>
7 0
2 years ago
1. What causes velocity to change?
tresset_1 [31]
The amount of force an object has will change the velocity
4 0
3 years ago
Read 2 more answers
which effect can have positive effects on the environment A.flood B. wildfire C. mudslide D. landslide
3241004551 [841]
A. A flood would have the most positive effect
4 0
3 years ago
In a neutral atom the number of electrons equals the number of what part of what other part
koban [17]

Protons

Explanation:

In a neutral atom, the number of electrons equals the number of protons in the atom.

  •  Electrons are the negatively charge particles in an atom
  • Protons carry positive charge.
  • Neutrons do not carry any charges.

Protons and neutrons are contained in the nucleus of an atom they determine the mass number of the atom.

In a neutral atom, the number of protons and electrons must be the same.

A charge atom called an ion is one that has lost or gained electrons.

Learn more:

Cations brainly.com/question/8698247

#learnwithBrainly

3 0
3 years ago
Other questions:
  • Discuss what in particular makes the light bulb a non-ohmic resistor. Specifically, how does temperature affect resistance? Can
    8·1 answer
  • Radio waves travelling at 3x108 m/s have a frequency of 1.017x108 Hz. Its wavelength is m rounded to the nearest tenth.
    10·1 answer
  • Which of the following fields push on a stationary electron?(A) electric and gravitational fields but not magnetic fields. (B) g
    6·2 answers
  • What does the slope of a position time graph determine?
    9·1 answer
  • I need help with science please!
    13·1 answer
  • A centimeter in milimetersr difiers from each other by a fact of 100 ,1000, 1 or 10
    14·1 answer
  • PLEASE HELP I NEED TO TURN IT IN IN AN HOUR ITLL GIVE YOU POINTS PLS PLEASE
    15·1 answer
  • The earliest known records describing electric charge involve the use of _____.
    8·2 answers
  • 3. Suppose you take a pendulum with length L and mass m having a period T to a
    15·1 answer
  • Hello pick all the right ones
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!