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
lawyer [7]
4 years ago
10

During the first part of a​ trip, a canoeist covered 65 km at a certain speed. He then traveled 27 km at a speed that was 4 ​km/

h slower. If the total time for the trip was 8 ​hr, what was the speed on each part of the​ trip?
Physics
1 answer:
vitfil [10]4 years ago
7 0

Answer:

13 km/h for 65 km

9 km/h for the next 27 km

Explanation:

Velocity of canoe =x km/h for 65 km

Velocity of canoe =x-4 km/h for 27 km after covering 65 km

Total time taken = 9 hours

So,

\frac{65}{x}+\frac{27}{x-4}=8\\\Rightarrow \frac{65(x-4)+27x}{x^2-4x}=8\\\Rightarrow \frac{92x-260}{8}=x^2-4x\\\Rightarrow 11.5x-32.5=x^2-4x\\\Rightarrow x^2-15.5x+32.5=0

Solving this quadratic equation we get,

x=\frac{15.5\pm \sqrt{240.25+130}}{2}=13\ or\ 2.5

Speed cannot be 2.5 as the speed will become negative for the 27 km stretch.

So, velocity of canoe is <u>13 km/h</u> for 65 km and <u>9 km/h</u> for the next 27 km

You might be interested in
How do you find pressure related to temperature
Ivenika [448]
Temperature and pressure are directly proportional to each other. If this helps,please pick me the best. Also,please say thanks.

8 0
3 years ago
When do mountain formations occur?
Bezzdna [24]
Mountains can form many ways. a few are when divergent plates move abort and lava comes through the crack evenly forming up to what Hawaii is today. Another is when convergent plates collide moving upward forming mountains.
7 0
4 years ago
The winch takes in cable at the constant rate of 130 mm/s. if the cylinder mass is 115 kg, determine the tension in cable 1. neg
nikitadnepr [17]
By applying Newton's second law of motion;

ma = mg - T

Where,
m = mass; a = downward accelerations (+ve value) or upward acceleration (-ve value); g = gravitational acceleration; T = tension.

For the current case, the velocity is constant therefore,
a = 0

Then,
0 = mg - T
T = mg = 115*9.81 = 1128.15 N

Tension in the cable is 1128.15 N.
8 0
3 years ago
If the strength of a magnetic field at B is three units the strength of the magnetic field at A is ____?
Tema [17]

If the strength of a magnetic field at B is three units the strength of the magnetic field at A, means that point B has three times more turns as compared to point A.

<h3>How strength of the magnetic field should be increased?</h3>

We can increase the strength of the magnetic field by increasing the number of turns which increases the strength of the current flow.

So we can conclude that point B has three times more turns as compared to point A.

Learn more about magnetic field here: brainly.com/question/14411049

#SPJ1

8 0
2 years ago
Which of the following are examples of a force? (choose as many as apply)
seropon [69]
All except B are examples of force
7 0
4 years ago
Other questions:
  • An object initially at rest experiences an acceleration of 1.90 ­m/s² for 6.60 s then travels at that constant velocity for anot
    8·1 answer
  • Which would most likely cause molten rock material to become glassy igneous rock?
    12·1 answer
  • According to the Creative Curriculum model, the _____ sets the context for teaching and learning
    14·1 answer
  • Ceres is BEST classified as a(n) ___.
    10·2 answers
  • Draw two unique free body diagrams that each show a net force of 30 N to the left.​
    5·1 answer
  • A small rock is thrown straight up with initial speed V0 from
    7·1 answer
  • In any ecosystem_______, are the point of entry for new energy
    11·2 answers
  • John rode 3,150 m at an average speed of 350 m/min. If he
    5·1 answer
  • [Please help :^)]
    14·2 answers
  • Given the information in the velocity vs. time graph, what is the displacement of the object after 1 second?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!