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
vagabundo [1.1K]
3 years ago
6

A van slows down uniformly from 17 m/s to 0 m/s in 5 s. How far does it travel before stopping?

Physics
1 answer:
hammer [34]3 years ago
6 0

Answer:

<em>Before stopping, the van travels 42.5 m</em>

Explanation:

<u>Constant Acceleration Motion</u>

It's a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

v_f=v_o+at\qquad\qquad [1]

The distance traveled by the object is given by:

\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2]

The van slows down uniformly from v0=17 m/s to vf=0 m/s in t=5 s. The acceleration can be calculated by solving [1] for a:

\displaystyle a=\frac{v_f-v_o}{t}

\displaystyle a=\frac{0-17}{5}=-3.4\ m/s^2

The distance covered is:

\displaystyle x=17\cdot 5+\frac{(-3.4)\cdot 5^2}{2}

\displaystyle x=85-42.5=42.5

Before stopping, the van travels 42.5 m

You might be interested in
Definition: This law states that, in any process, energy is neither created nor destroyed. It can only be
Alika [10]
law of conservation of energy

aka the first law of thermodynamics
5 0
3 years ago
The equation Bold r (t )equals(8 t plus 9 )Bold i plus (2 t squared minus 8 )Bold j plus (6 t )Bold k is the position of a parti
KATRIN_1 [288]

Explanation:

It is given that, the position of a particle as as function of time t is given by :

r(t)=(8t+9)i+(2t^2-8)j+6tk

Let v is the velocity of the particle. Velocity of an object is given by :

v=\dfrac{dr(t)}{dt}

v=\dfrac{d[(8t+9)i+(2t^2-8)j+6tk]}{dt}

v=(8i+4tj+6k)\ m/s

So, the above equation is the velocity vector.

Let a is the acceleration of the particle. Acceleration of an object is given by :

a=\dfrac{dv(t)}{dt}

a=\dfrac{d[8i+4tj+6k]}{dt}

a=(4j)\ m/s^2

At t = 0, v=(8i+0+6k)\ m/s

v(t)=\sqrt{8^2+6^2} =10\ m/s

Hence, this is the required solution.

7 0
3 years ago
A woman is standing in the ocean, and she notices that after a wavecrest passes, five more crests pass in a time of 50.0 s. Thed
Vadim26 [7]

Answer:

(a) T = 10 s

(b) f = 0.1 Hz

(c) λ = 32 m

(d) v = 3.2 m/s

(e) Insufficient data

Explanation:

(a)

Time period is defined as the time interval required for one wave to pass. Therefore, the time period can be given as:

T = Period = Time Taken/No. of Waves

T = 50 s/5

<u>T = 10 s</u>

<u></u>

(b)

Frequency is the reciprocal of time period:

f = frequency = 1/T

f = 1/10 s

<u>f = 0.1 Hz</u>

<u></u>

(c)

Wavelength is the distance between two consecutive crests or troughs:

<u>λ = Wavelength = 32 m</u>

<u></u>

(d)

Speed of wave is given by the following formula:

Speed = v = fλ

v = (0.1 Hz)(32 m)

v = 3.2 m/s

(e)

Amplitude cannot be found with given data.

6 0
3 years ago
The pulley system has a mechanical advantage of 5. Determine how much input force is required to achieve 1000 N of lifting force
Katen [24]
I don’t think I need anything from my dad to get my hair fixed so I’m just bored I don’t want you guys
8 0
2 years ago
A particle travels clockwise on a circular path of diameter​ R, monitored by a sensor on the circle at point​ P; the other endpo
kotykmax [81]

We make a graphic of this problem to define the angle.

The angle we can calculate through triangle relation, that is,

sin\theta = \frac{c}{QP}\\sin\theta = \frac{c}{R}\\\theta=sin^{-1}\frac{c}{R}

With this function we should only calculate the derivate in function of c

\frac{d\theta}{dc} = \frac{1}{\sqrt{1-\frac{c^2}{R^2}}}(\frac{c}{R})'\\\frac{d\theta}{dc} = \frac{1}{\sqrt{R^2-c^2}}

That is the rate of change of \theta.

b) At this point we need only make a substitution of 0 for c in the equation previously found.

\frac{d\theta}{dc}\big|_{c=0} = \frac{1}{\sqrt{R^2-0}}\\\frac{d\theta}{dc}\big|_{c=0} = \frac{1}{R}

Hence we have finally the rate of change when c=0.

6 0
3 years ago
Other questions:
  • The most important barriers to diffusion today are physical features of Earth's surface.
    5·1 answer
  • Five grams of sugar is dissolved in 50 grams of water what is the mass of the water
    14·2 answers
  • Plz answer these questions u don't have to do 4,5,6,or 7 just 1,2, and 3 plz plz plz
    5·1 answer
  • The CIA investigated hypnosis as a possible tool for interrogating prisoners. Why did they decide it was unsuitable for that
    15·2 answers
  • Molly is jogging on the treadmill. After 20 minutes, her heart rate has not increased, she is able to talk, and she is not sweat
    10·2 answers
  • For a two-level system, the weight of a given energy distribution can be expressed in terms of the number of systems, N, and the
    14·1 answer
  • What is the critical angle of light traveling from benzene (n=1.501) into air?
    5·1 answer
  • When thermal energy is added to an object what happens to the motion of the particles
    6·2 answers
  • A truck accelerates on a highway from rest to 216 m/s in 10s. What is the magnitude of acceleration?
    7·1 answer
  • Multiple-Object Accelerating Systems: As shown in the figure, two blocks are connected by a very light string, and the upper blo
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!