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
Anettt [7]
3 years ago
12

A shuttle bus slows down with an average acceleration of -2.4 m/s2. How long does it

Physics
1 answer:
olganol [36]3 years ago
4 0

Answer:

\boxed {\boxed {\sf 3.75 \ seconds }}

Explanation:

Average acceleration is found by dividing the change in acceleration by the time.

a=\frac{ v_f-v_i}{t}

The shuttle bus has an acceleration of -2.4 meters per square second. It slows from 9.0 meters per second to rest, or 0 meters per second. Therefore:

a= -2.4 \ m/s^2 \\v_f= 0 \ m/s \\v_i= 9 \ m/s

Substitute the values into the formula.

-2.4 \ m/s^2=\frac{0 \ m/s - 9 \ m/s}{t }

Solve the numerator.

-2.4 \ m/s^2 = \frac{-9 \ m/s}{t}

We want to solve for t, the time. We have to isolate the variable. Let's cross multiply.

\frac{-2.4 \ m/s^2}{1} = \frac{-9 \ m/s}{t}

-9 \ m/s *1= -2.4 \ m/s^2 *t

-9 \ m/s=-2.4 m/s^2*t

t is being multiplied by -2.4. The inverse of multiplication is division, so divide both sides by -2.4

\frac{-9 \ m/s }{-2.4 \ m/s^2} =\frac{ -2.4 \ m/s^2*t}{-2.4 \ m/s^2}

\frac{-9 \ m/s }{-2.4 \ m/s^2} =t

3.75 \ s=t

It takes <u>3.75 seconds.</u>

You might be interested in
When an ideal gas does positive work in its surroundings, which of the ga's quantities increases?
Burka [1]
I think it's B hope it helps
4 0
3 years ago
At what percentage of their full-grown weight are elephants born?
solmaris [256]
 New-born elephants<span> are </span>born<span> with an incredible mass of 77-113 kg. But they </span>weight<span> only 4% of an </span>adult<span> female's </span>weight<span> and only 2% of an </span>adult<span> male's. New-born may consume 11.4 ... </span>
7 0
3 years ago
In the 2016 Olympics in Rio, after the 50 mm freestyle competition, a problem with the pool was found. In lane 1 there was a gen
gogolik [260]

Answer:

Explanation:

still water speed is 50 m / 25.0 s = 2.00 m/s or 200 cm/s

In lane 1 the effective speed would be 201.2 cm/s

5000 cm / 201.2 cm/s = 24.85 s

The change is 25.00 - 24.85 = 0.15 s decrease in time

In lane 8, the effective speed would be 198.8 cm/s

5000 cm / 198.8 cm/s = 25.15 s

The change is 25.00 - 25.15 = 0.15 s increase in time

6 0
3 years ago
What Type Of Technologies are helping reduce ozone?
atroni [7]

Sector-specific technological measures – vapor recovery nozzles at gasoline pumps, cleaner-burning fuels, strong vehicle inspection programs and strict emission limits for refineries, industrial emissions and combustion sources – all can help control ozone pollution and have contributed to lower emissions over the last three decades

hope this helps

4 0
3 years ago
A block of mass 5.6 kg is attached to a horizontal spring on a rough floor. Initially the spring is compressed 3.5 cm. The sprin
Mariana [72]

Answer:

The velocity of block = 0.188 \frac{m}{s}

Explanation:

Mass m = 5.6 kg

k = 1040 \frac{N}{m}

\mu = 0.26

x_{1} = 0.035 m  , v_{1} = 0

x_{2} = 0.02 m

From work energy theorem

K_{1} + U_{1} + W_{other} = K_{2} + U_{2}  --------- (1)

Kinetic energy

K = \frac{1}{2} k x^{2}  ------- (1)

Potential energy

U = \frac{1}{2} k x^{2} ------- (2)

Work done

W = F.s ------ (3)

From Newton's second law

R_{N} = mg

R_{N}  = 5.6 × 9.81 = 54.9 N

Friction  force = 0.4 × 54.9 = 21.9 N

Now the work done by the friction

W_{f} = - 21.9 × 0.015

W_{f} = - 0.329 J

Now kinetic energy

At point 1

K_{1} = \frac{1}{2} m v^{2} _{1}

K_{1} = 0

U_{1} = \frac{1}{2} k x^{2}

U_{1} = \frac{1}{2}  (1040) 0.035^{2}

U_{1} = 0.637 J

At point 2

K_{2} = \frac{1}{2} (5.6) v^{2} _{2}

K_{2} = 2.8 v_{2} ^{2}

Potential energy

U_{2} = \frac{1}{2}  k x_2^{2}

U_{2} = \frac{1}{2}  (1040) 0.02^{2}

U_{2} = 0.208 J

From equation (1) we get

0 + 0.637 - 0.329 = 2.8 v_{2} ^{2} + 0.208

2.8 v_{2} ^{2} = 0.1

v_{2} = 0.188 \frac{m}{s}

This is the velocity of block.

6 0
4 years ago
Other questions:
  • a stationary bomb of mass 5kg exploded into one part A of mass 2kg flying off with a velocity of 60 m/s and another part B of ma
    11·1 answer
  • A gas is enclosed in a cylinder fitted with a light frictionless piston and maintained at atmospheric pressure. When 3300 kcal o
    8·1 answer
  • A jogger runs 224 meters eastward, then 156 meters
    11·1 answer
  • Which statement describes a question that can be answered by a scientific
    5·2 answers
  • PLZZZ I WILL GIVE BRAINLIEST!!!!! A car traveled on a flat road. The car’s kinetic energy increased over time, while its potenti
    5·2 answers
  • Explain how a transistor behaves as a switch
    11·2 answers
  • How do we live on earth if the earth is in the sky?
    8·1 answer
  • Which option below illustrates the electrical force?
    5·1 answer
  • Is the following chemical reaction balanced?<br> 2H₂O2H₂O + 0₂<br><br> yes<br> no
    5·1 answer
  • The fastest train in the world can go 501 km/h. How far can the train travel in 3 hours?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!