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
vodomira [7]
3 years ago
7

A river flows due east at 12 km/h. A boat crosses the 720 m wide river by maintaining a constant velocity of 72 mi/h due north r

elative to the water. If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?

Physics
1 answer:
zhenek [66]3 years ago
6 0

Answer:

The boat will be 74 .17 meters downstream by the time it reaches the shore.

Explanation:

Consider the vector diagrams for velocity and distance shown below.

converting 72 miles per hour to km/hr

we have 72 miles per hour 72 × 1.60934 = 115.83 km/hr

The velocity vectors form a right angled triangle, and can be solved using simple trigonometric laws

tan \theta = \frac{12}{115.873}

\theta = tan^{-1}(  \frac{12}{115.873})=5.9126

This is the vector angle with which the ship drifts away with respect to its northward direction.

<em>From the sketch of the displacement vectors,  we can use trigonometric ratios to determine the distance the boat moves downstream.</em>

Let x be the distance  the boat moves downstream.d

sin(5.9126)=\frac{x}{720}

x= 720\times 5.9126

x=74.17m

∴The boat will be 74 .17 meters downstream by the time it reaches the shore.

You might be interested in
Scientists can use the location and depth of where a fossil is found to estimate the age of the fossil. To do this, they use
Roman55 [17]

Answer:

C the Law of Superposition

Explanation:

Basically the law of Superposition is applied in this regard. The law states that "the oldest layer is on the bottom and the youngest layer is on top".

When we find fossils at a particular depth we can relatively date a rock based on the strata we find them. A fossil in place in bottom beds will be older than the one in the topmost layer. Fossils also succeed one another in a definite pattern according to the principle of fossil and fauna succession.

7 0
3 years ago
Read 2 more answers
The average adult in the US watches _____ hours of television each week.
Shkiper50 [21]
The average adult in the us spends 24 hours watching televistion each week
8 0
3 years ago
Read 2 more answers
An object with high momentum ______.
Pepsi [2]
The answer should be (b)
7 0
3 years ago
The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car's moti
Ksenya-84 [330]

Answer: The answer is B

Explanation: It is staying in a steady speed position

5 0
2 years ago
Read 2 more answers
LOTS OF BRAINLIST WILL BE GIVING TO THOSE WHO HELP
Alex_Xolod [135]
You know you can skip those and just submit them, they don’t even check them
4 0
2 years ago
Read 2 more answers
Other questions:
  • A 12.0 g bullet was fired horizontally into a 1 kg block of wood. The bullet initially had a speed of 250 m/s. The block of wood
    14·1 answer
  • A 250 g beach ball rolls across the sand with a speed of 11.16 km/h. First convert units to kg and m/ then determine the momentu
    6·1 answer
  • Which kinds of objects emit light? A. objects that shine B. hot objects C. distant objects D. colored objects E. all objects
    15·2 answers
  • Does friction cause mechanical energy to change to thermal energy
    13·1 answer
  • When the moving sidewalk at the airport is broken, as it often seems to be, it takes you 44 s to walk from your gate to baggage
    13·1 answer
  • A mailman performed 296 J of work lifting a box of 1.6 m. How much force did the mailman use?
    5·1 answer
  • Which of the following is a Nobel gas?<br> Ba2+<br> OA<br> OB. Ci<br> Kr<br> Ос.<br> Ca<br> D.
    8·1 answer
  • Explain the difference between mass and weight for objects on earth and on the moon
    7·2 answers
  • If the speed of the magnet is doubled, the induced voltage is ________ . twice as great four times as great half as great unchan
    5·1 answer
  • Consider a river flowing toward a lake at an average velocity of 3 m/s at a rate of 510 m3/s at a location 90 m above the lake s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!