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
Anit [1.1K]
3 years ago
6

Please help me with this (with explanation)

Physics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Suppose the cyclist travels for a total time of <em>t</em> hours.

For 20 min = 1/3 hr, the cyclist does not move.

Over the remaining (<em>t</em> - 1/3) hr, the cyclist is moving at a constant speed of 22.0 km/hr, so that the cyclist would travel a distance of

<em>x</em> = (22.0 km/hr) • ((<em>t</em> - 1/3) hr) ≈ (22.0 km/hr) <em>t</em> - 7.33 km

If the cyclist's average speed over the total time <em>t</em> was 17.5 km/hr, then by the definition of average speed,

17.5 km/hr = <em>x</em> / <em>t</em>

Replace <em>x</em> with the distance expression from earlier:

17.5 km/hr = ((22.0 km/hr) <em>t</em> - 7.33 km) / <em>t</em>

Solve for <em>t</em> :

17.5 km/hr = 22.0 km/hr - (7.33 km) / <em>t</em>

(7.33 km) / <em>t</em> = 4.5 km/hr

<em>t</em> = (7.33 km) / (4.5 km/hr)

<em>t</em> ≈ 1.62963 hr

Then the distance the cyclist traveled must have been

<em>x</em> ≈ (22.0 km/hr) (1.62963 hr) - 7.33 km ≈ 28.5 km

and so the answer is A.

Alternatively, as soon as you arrive at

17.5 km/hr = <em>x</em> / <em>t</em>

you can instead solve for <em>t</em> in terms of <em>x</em>, then plug that into the distance equation.

<em>t</em> = <em>x</em> / (17.5 km/hr)

then

<em>x</em> ≈ (22.0 km/hr) (<em>x</em> / (17.5 km/hr)) - 7.33 km

<em>x</em> ≈ 1.25714 <em>x</em> - 7.33 km

0.25714<em>x</em> ≈ 7.33 km

<em>x</em> = (7.33 km) / 0.25714 ≈ 28.5 km

You might be interested in
A student walks 4 blocks east, 7 blocks west, 1 block east and then 2 blocks west in an hour what is their velocity
Nutka1998 [239]

Answer:

4 blocks west is final displacement. So 4 blocks per hour

3 0
2 years ago
WILL MARK BRAINLIST!!! only for correct answer<br> NEED CORRECT ANSWER ASAPPP
Nataly [62]

Answer:

number 4

Explanation:

The reflection of light happens when the light bounces off the reflecting surface. That is described by the last (bottom) schematics.

Therefore, select answer number 4.

5 0
2 years ago
Pls I need it fast , its for my homework and I can’t find it
frez [133]

Answer:

first one is  series second one is paralle

Explanation:

5 0
3 years ago
How this induced force can be increased? Write three ways.
Ludmilka [50]
Strength of induced current increased when strength of magnetic field increases. It will also increase when the number of turns are increased or if the speed of conductor increases
8 0
2 years ago
Which type of machine is a hand drill ? mechanical machine,compound machine, simple machine , or complex machine ?
Nana76 [90]
A hand drill is a Compound machine.
8 0
3 years ago
Read 2 more answers
Other questions:
  • Three pucks A, B, and C are shown sliding across ice at the noted speeds. Air and ice friction forces
    7·1 answer
  • Physical activity and exercise typically lead to
    7·2 answers
  • What are the balanced forces for someone in a parachute? A. Gravity and Earth B. Gravity and air resistance C. Gravity and centr
    9·2 answers
  • Volcanoes change the earth by (2 points) slow surface heating violent, fast eruptions rapid oxygen depletion keeping mountains f
    13·1 answer
  • 1. When all the light spectrum colors travel together, they blend together as __________________ light. You do not see the indiv
    12·1 answer
  • The section of a longitudinal wave in which the particles are densely packed together
    5·1 answer
  • suppose you were pushing on a heavy bucket of stones it 100 N of force, and it did not move. How many newtons of force would be
    10·1 answer
  • OF BRICK<br> (a)<br> The pushing force does not make the brick move. Explain why.
    15·1 answer
  • A proton exits the cyclotron 1.0 ms after starting its spiral trajectory in the center of the cyclotron. How many orbits does th
    11·1 answer
  • Review. (b) What is the mass difference?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!