a) displacement of the boatb) the heading (direction) the boat is travellingc) the resultant velocity A captain of a small boat has had a navigational equipment malfunction and is forcedto navigate by using landmarks. He has determined that in 3.0 hours the boat hastravelled 24 km south and 62 km west. Determine:

Given data: Total time taken (t) = 3 hours Boat travelled = 24 km south and 62 km west

Answered: a) displacement of the boat b) the…

Science

Physics

a) displacement of the boat b) the heading (direction) the boat is travelling c) the resultant velocity

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Can kinematic equations be used to describe the motion of a projectile? If so, which equations?

Q: Find the height of point A. What is its speed when it hits the point A? What is its displacement…

Q: A Jeepney driver is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns…

A: Given value--- initial speed = 30 m/s. final speed= 0 m/s. acceleration = - 8 m/s2. We have to…

Q: Vector A is 5.5 cm long and points along the East. Vector B is 7.5 cm long and points at +30° North…

A: Add the two vectors: For adding the two vectors, place the second vector at the end of first vector.…

Q: 2) Let r(t) =, −ñ ≤ t ≤ ñ a) Show that the velocity and acceleration vectors are always…

A: Vector.

Q: 2) Find the resultant displacement of the following 3 displacements: A = 18.0 m, @ 24.0° E of S B=…

A: Given data: The vectors are given as, A=18.0 m, @ 24.0o E of S B=8.00 m, @ 17.0o N of W C=14.0 m, @…

Q: 2. Three displacement vectors are given as shown in figure. Their mag nitudes are JA- 8.0 m, |B|-…

Q: A vehicle enters a corner moving at 25 km/hr north then leaves the corner moving at 35 km/hr at 30°…

Q: Displacement of a body is a O vector O scalar and vector O scalar O tensor O None of the choices…

A: A physical quantity which have both magnitude and direction is called as Vector. A physical quantity…

Q: Scalar quantities are not complete without .specifying their directions True O False O

A: The scalar quantities are those physical quantities which have only magnitude . They do not need…

Q: 4) Despite of warnings, two students played volleyball on one of the buildings of the school. From…

A: Given Data : The time taken by the ball to reach the ground is given as t = 2s.

Q: A car is driven east for a distance of 47 km, then north for 28 km, and then in a direction 30° east…

Q: 5-) An object moves in the xy plane with the x-component of the acceleration given by a, = 6 m / s²…

A: Acceleration is defined as the time rate of change of velocity, i.e. a=dvdt Kinematic equations of…

Q: A motorist drives south at 24.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for 2.60…

Q: A bus accelerates uniformly from rest to a velocity of 5.6 m/s in 2.1 seconds. Find the displacement…

Q: 3. Sarah walked 5.0 km [E], then another 4.0 km [W 60° N]. Determine her total displacement.

A: The objective of this question is to calculate the total displacement of Sarah's walk. Displacement…

Q: An angry bird is launched from ground level with an initial velocity of 60.0 m/s at an angle of 30.0…

A: Given, Initial velocity v= 60 m/s At angle 30 degree to horizontal

Q: Describe about the How to find the vector acceleration of a particle, why a particle can have an…

Q: An airplane undergoes the following displacements, all at the same altitude: First, it flies 59.0 km…

A: Given value--- first distance = 59 km , 30 degree E of N. second distance = 58 km , South. third…

Q: Which of the following is valid for displacement? (1) It cannot be zero. (2) Its magnitude is…

A: Both the statements are not valid. When the object’s initial and final position are the same, the…

Q: An object moves 8.0 m at an angle of 20.0o with respect to its x-axis. The object then moves another…

A: d⇀net=8.0 mcos20.0°i^+8.0 msin20.0°j^+10.0 mcos40.0°i^+10.0 msin40.0°j^=15.2 mi^+9.16 mj^ Magnitude…

Q: Which of the following is true about projectile motion? Choose two (A) the horizontal motion of a…

Q: A stray dog catcher drives 34km east, picks up some dogs, then drives, 10km west to drop them off…

A: We can solve this problem using vector addition. Let's represent the eastward direction as the…

Q: A sandal is dropped from the top of a 15.0 m high mast on a ship moving at 1.73 m/s due south. (a)…

A: A sandal is dropped from the top of a 15.0 m high mast on a ship moving at 1.73 m/s due south.

Q: ENG 207A The sum of vectors D, E and F is a resultant with a magnitude of 24.80 cm pointing 21.34…

Q: A projectile is fired vertically upward with a given initial velocity. It reaches a maximum height…

A: Given: The maximum height attained by the projectile in the first case is 100 m. The direction of…

Q: 3. Sarah walked 5.0 km [E], then another 4.0 km [W 60° N]. Determine her total displacement.

A: The objective of the question is to find the total displacement of Sarah's walk. Displacement is a…

Q: What are the x and y components for the resultant R given the following components for vectors A to…

A: Given Vectors, Vector X-Component Y-Component A 6 -2 B -2 6 C 3 3

Q: Give a situation in which there are clear distinctions among distance travelled, displacement and…

A: Let us suppose the situation that a man is standing at point A and wants to reach the point D as…

Q: There is an acceleration of 1.5 m s-1 in an E 60° N direction. (5) A car initially travels at 12 m…

A: Given, u=12 m/s, W, 30° Sa= 1.5 m/s, E 60° N

Q: 4. If two vectors of a distance of 32 m are pointing at opposite directions wherein one is pointing…

A: Displacement is defined as shortest distance between initial and final position.Displacement is a…

Q: Using the triangle method, determine the displacement of traveling: 100 km @ 30° SoW and then 40 km…

A: Givena = displacement = 100 km @ 30° SoWb = displacement = 40 km @ 70° EoSI have to find the final…

Q: A fish swims N 20°E at 5 mi/hr relative to the water. The water current flows due east 3 mi/hr. (If…

A: Let us choose the convention like this North -> y axis East -> x axis South -> - y axis…

Q: Determine a at s 1 m. (s/u) a - s(m)

Q: THE SUM OF VECTORS D, E, AND F IS A RESULTANT WITH A MAGNITUDE OF 24.80 cm POINTINS 21.34° WEST OF…

Q: 3. The position of an object as a function of time is r(t) = (7t³ - t)î+ (3t²)ĵ. Find the magnitude…

Q: The total path length is always equal to the magnitude of the displacement vector of a particle. a)…

A: True or False: The total path length is always equal to the magnitude of the displacement vector of…

Q: What is the magnitude and sign (positive/negative) of the displacement of an object initially found…

A: Take the positive sign away from origin. The object is initially at 15 cm and then comes to 10 cm.…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

a) displacement of the boat
b) the heading (direction) the boat is travelling
c) the resultant velocity

A captain of a small boat has had a navigational equipment malfunction and is forced
to navigate by using landmarks. He has determined that in 3.0 hours the boat has
travelled 24 km south and 62 km west. Determine:

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

近 8. The elevators in Landmark Tower, in Yokohama, Japan, are among the fastest in the world. They accelerate upward at 3.125 m/s? for 4.00s to reach their final speed. What is the elevator's change in velocity? p search
A train is moving eastward with a speed of 80 km/h, while a car is moving westward with a speed of 60 km/h on the same track. What is the relative velocity of the car with respect to the train? A) 20 km/h eastward B) 140 km/h westward C) 140 km/h eastward D) 20 km/h westward
Q3) Consider an arbitrary vector A = A,â, + A¸âp + A,â, in cylindrical coordinates and express in Cartesian coordinates
OE) 12 m 19 - When two vectors A // B, then |AxB| will be equal to? OA) 2A OB) AB OC) 2B OD) 2AB O E) 0
You shoot an arrow into the air at an initial velocity of 22.5 m/s at an angle of 40 degrees. a) Find the maximum height the arrow reaches in the air. b) Find the time it takes to reach its maximum height. c) Find the time it takes to hit the ground. Assume its flight in the air is symmetrical, with the first half of flight traveling upward, and the 2nd half of the flight traveling downward. Assume no air resistance. d) Find how far away it hits the ground.
The position of an object is given by s(t) = sin(t). What is the displacement of the object between t = andt O 0.866 O 0.5 O -0.5 O -0.866
The time it takes for a projectile to go up to its' maximum height is the same amount of time that the projectile takes to fall from its' maximum height back down to its initial height. True False
Write a wave function describing the wave.
A river has a width of 600 m and the speed of the current directs towards the east. a boat having speed of 4 m / s in relation to the water, crosses the river directs in a northerly direction. a) How far is the boat will arrive downriver b) crossing time
VECTOR ADDITIONS USING THE LAW OF SIN AND COS a.) 44km 40° West of North b.) 26km 26° West of South
The nose of an ultralight plane is pointed south, and its airspeed indicator shows 27 m/s . The plane is in a 16 m/s wind blowing toward the southwest relative to the earth. 1) Letting x be east and y be north, find the components of Vp/E (the velocity of the plane relative to the earth). 2) Find the magnitude of Vp/E 3) Find the direction of Vp/E
- 5) Ajet plane is flying at constant altitude At time t,=0, it has components of velocity Vx=90 m/s and vy=110 m/s. At time t2=30 s, the components are v,=-170 m/s and Vy=40 m/s. For this time interval, a) find the components of the average acceleration. b) find the magnitude and direction of the average acceleration.