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
Tatiana [17]
3 years ago
12

A police officer is parked by the side of the road, when a speeding car travelling at 50 mi/hrpasses. The police car immediately

pursues it, accelerating at a rate of 10 mi/hr per second.The road is fairly busy, so the officer will not go faster than a top speed of 70 mi/hr. How longwill it take before the officer catches up to the speeding car, and how far will it have travelled inorder to do so
Physics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

a) time taken to catch up with speeding car is 12.25 secs

b) the police car will travel 273.8 m to catch up with the speeding car

Explanation:

Given that;

speed of car V_{c} = 50 mi/hr = 22.352 m/s

acceleration of police car = 10 mi/hr = 4.47 m/s²

V_{f}  = 70 mi/hr = 31.29 m/s

Now time taken to reach maximum speed is t₁

so

V_{f} =  V_{i} + at₁

we substitute

31.29 = 0 + 4.47t₁

t₁ = 31.29 / 4.47

t₁  = 7 sec

now

d₁ = 0 + 1/2 × at₁²

d₁ = 0 + 1/2 × 0 + 4.47×(7)²

d₁ = 109.5 m

so distance travelled by the speeding car in time t₁  will be

d_{c} = V_{c} × t₁

we substitute

d_{c} = 22.352 × 7

d_{c}  = 156.46 m

now distance between polive car and speeding car

Δd =  d_{c} - d₁

Δd = 156.46 - 109.5

Δd = 46.96 m

time taken to cover Δd will be

t₂ = Δd / ( V_{f} - V_{c} )

t₂ = 46.96 / ( 31.29 - 22.352 )

t₂ = 46.96 / 8.938

t₂ = 5.25 sec

distance travelled by the police in time t₂ will be

d₂ = V_{f} × t₂

d₂ = 31.29 × 5.25

d₂ = 164.3 m

a) How long will it take before the officer catches up to the speeding car;

time taken to catch up with speeding car;

t = t₁ + t₂

t = 7 + 5.25

t = 12.25 secs

Therefore, time taken to catch up with speeding car is 12.25 secs

b)  how far will it have travelled in order to do so;

distance = d₁ + d₂

distance = 109.5 + 164.3

distance = 273.8 m

Therefore, the police car will travel 273.8 m to catch up with the speeding car

You might be interested in
Nuclear
luda_lava [24]

Answer:

Energy

Kinetic

Energy in

this

Explanation:

ithikitsthatecauseireallydo

4 0
3 years ago
Room's become bright at the day time although there is no bright sunlight in the rooms why
Aneli [31]

Answer:

The room become bright in the day by a process call scattering of light or Rayleigh scattering.

Explanation:

It is called Rayleigh scattering or scattering of light because Rayleigh scattering is the scattering if light or electromagnetic radiation by smaller particles which have radius of less than 110 nanometer in a medium and the wavelengths of the electromagnetic. Wave or light remain unchanged. The scattering of light occur in the day time in the room and this bring of brighten up of the room.

5 0
2 years ago
How much time will it take for a bug to travel 2 meters across the floor if it is traveling at 0.5 m/s?
7nadin3 [17]
4 seconds to travel 2 meters :)
6 0
3 years ago
Which statement describes how upwelling occurs
uranmaximum [27]

The statement best describes how upwelling occurs is Upwelling causes nutrients, minerals, and tiny organisms to rise. The correct option is C.

<h3>What is upwelling?</h3>

Upwelling occurs when winds push surface water away from the shore and deeper water rises to fill the gap.

The upwelling is a cycle that shows up in the water bodies all over the planet. This cycle is basically addressing the ascending of the virus waters towards the surface where there's hotter environment, subsequently hotter water also.

With the ascent of the virus waters towards the surface, everything with it ascend also. The virus waters are plentiful in supplements and minerals, as well as minuscule creatures, like the Phyto-microscopic fishes.

This is a cycle that is vital for the presence of the environments in the bigger water bodies.

Thus, the correct option is C.

Learn more about upwelling.

brainly.com/question/14785047

#SPJ1

4 0
2 years ago
What is waters characteristics shape due to?
Burka [1]

Answer:

In a polar covalent bond, the electrons are unequally shared by the atoms and spend more time close to one atom than the other.

Explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • A roofer drops a nail that hits the ground traveling at 26 m/s. How fast was the nail traveling 1 second before it hits the grou
    15·1 answer
  • Can someone help me?
    11·1 answer
  • compare to visible light, the wavelength of x-rays is shorter longer or the same and the frequency is lower higher or the same
    14·1 answer
  • The radius of a sphere is increasing at a rate of 4 mm/s. how fast is the volume increasing when the diameter is 40 mm?
    6·1 answer
  • Can someone help me please it is number 7
    7·1 answer
  • While traveling on a dirt road, the bottom of a car hits a sharp rock anda small hole develops at the bottom of its gas tank. If
    11·1 answer
  • If a soap bubble is 115 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated
    13·1 answer
  • Will the star of bethlehem be visible on december 21st
    12·1 answer
  • What happens to the atomic number of an atom when the number of neutrons in the nucleus of that atom increases? a It decreases b
    8·1 answer
  • What is the force of gravity between two 50.0kg masses that are separated by 0.300m?3.71x10-8N5.59x10-7N2.78x104N1.85x10-6N
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!