Answered: The position vector of a moving…

The position vector of a moving particle is given as Ret)= C오+st + st')i + (니t + yE)j-bCost k Find (a) The speed at t=o The a cceleration vectors at and aN (b)

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter4: Motion In Two And Three Dimensions

Section: Chapter Questions

Problem 17P: The coordinates of a particle in a rectangular coordinate system are (1.0,4.0,6.0) . What is the...

See similar textbooks

Related questions

Q: For the following vector r =3i -10j , find the direction

Q: O A stone is thrown vertically upwards at 24.5 on the level with but just beyond cliff ledge. It's…

Q: vector B has X,y, and z components of 4.00,6.00. and 3.00 units,, respectively.calculake la) the nag…

A: As per the guide lines first question is answered, kindly post other as a new post. (5) Vector…

Q: The displacement vectors and B shown in Figure P3.9 magnitudes 3.00 m. The direction of vec- both…

A: The vectors are added using parallelogram theorem. Below is the resultant vector indicated with…

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

A: Given F1=20 N to eastF2=20 N to westF3=10 N to north…

Q: Find the velocity and acceleration vectors in terms of u, and ug. de r= a sin 40 and 2t, where a is…

A: Formula

Q: Given: x - coordinate: x = -5.00sinwt, where w is constant, x is meters, andt is seconds y -…

Q: An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In…

Q: Given that the position vector of a projectile at any time is represented by the equation r(t)=îbt…

Q: Determine the resultant of the given vectors by component method. Summarize the given table fo your…

A: Please see the answer below

Q: A fishing boat heads due northwest at 20.0 m/s across a river with 140° that flows due southeast at…

A: Motion perpendicular are independent of each other. Motion can be uniform or accelerated. Motion is…

Q: The of vector A 32 units and in the direction 310 degrees counterdockwine from the positive x acis.…

Q: Find the position vector of a particle whose acceleration vector is a=(6t,2) with an initial…

A: Write the expression for the acceleration, and solve for the velocity vector.

Q: Can a vector with zero magnitude have one or more componentsthat are nonzero? Explain.

A: Let’s take a vector in 3-D (one can take n-dimension vector also).

Q: An air traffic controller observes two airplanes approachingthe airport. The displacement from the…

A: Given: The displacement from the control tower to plane 1 is given by, vector A having magnitude 220…

Q: ne the magnitude and direction (relati or distance and time, respectively. X km o north of west 5.35

Q: A Particle is located af origin, theh itis move with accelekation ã=3jM, and inifiol velocity V = si…

A: Given data: Initial velocity of the particle, u=5 i^ m/s Acceleration, a=3 j^ m/s2

Q: A vector A is in the fourth quadrant. Ax-87.99, and Ay-62.59, what is the angle (in degrees) between…

Q: The xx-component of a velocity vector that has an angle of 31 ∘∘ to the +xx-axis has a magnitude of…

A: a) The required magnitude of the velocity,

Q: According to the text, there are two equations from which the five equations may be derived by…

A: Here, X=displacement V=velocity T=time A=acceleration

Q: Two vectors are given by a = (1,2,3) and b = (3,2,1) in cartesian coordi- nates. Find à, a + b, a b…

Q: A position vector with magnitude 20 m points to the right and up. Its x-component is 16 m . What is…

A: Magnitude (r) = 20 m X- component (x)= 16 m

Q: GIven two vector a and b find vecto 2A - 4B and its magnitude; where A = ax + 2ay and B = 5ax - 4ay

Q: Given vectors a=(-4,-5) and b=(-9,-7) Find the magnitude of the resultant vector: r=5a-3b

Q: Consider the following position vector. If the distance units are in meters and the time units are…

A: This question is based on principle of homogenity.

Q: What is the resultant of vector A=5m East and B=10m 30° South of East?

A: Analyze the diagram of the system.

Q: A has a magnitude of 27 and is parallel to B which has a magnitude of 16. Let R = A + B, let S-A-B,…

Q: v = [(3 - 1)i + 2j ) m s' When t = 0, the particle is at the origin. The position vector of the…

Q: A boat sails 100 km east then 200 km 60o south of east. How far and which way is it from the origin?

A: The required total traveled distance is,

Q: Given vector A = xz ax -Xy ay +yz az 1. Transform A into cylindrical coordinate and it's magnitude…

A: Given data: The vector is A=xzax-xyay+yzaz.

Q: The figure shows the path taken by a drunk skunk over level ground, from initial point i to final…

A: Given : d1 = 4.40 m, d2 = 7.10 m, d3 = 13.0 m and θ1 = 30.0°, θ2 = 51.0°, θ3 = 77.0°

Q: Suppose you first walk A - 13.0 m in a direction e, - 15° west of north and then 8- 21.5 m in a…

Q: A particle has a position vector given by r(t)= 30t i + (40t - 5t^2)j, where r(t) is in meters and t…

A: Evaluate the instantaneous velocity (v) at the function of time.

Q: Two vectors, 10 and 15 units long, make 60o with each other. Find the magnitude and direction of…

A: Side A A=10sin60∘A=1032A=53 Side B B=10 cos60∘+15B=5+15B=20

Q: A position vector with magnitude 10 m points to the right and up. Its x-component is 6.0 m. What is…

Q: A particle under goes the folowing displacement, (3.5m) south, (8.2m) northeast and (15m) west.…

A: Let us consider the 8.2 m vector displacement as the hypotenuse of a right angled triangle with a…

Q: For vectors B = -2î -9i and A =- calculate the fllowing )'AtB (Express r answer in vec Expres your A…

Q: O If R= (i+ (); +(SZ Int)k %3D is the position vector ot aperticale in spuce defermine at tzi (a)…

A: Given- R=21+ti+t33j+2lntk -----------(1)

Q: Position of a particle is defined by Cartesian coordinates x(?)= 4+Bt, y(?)=2At, where A = const and…

Q: performinga"Dor prodiet" betucen the following tuo vectors Yieids an emswer of what? A 44 Nm B)-24…

Q: if the a position vectort ) locates at points x-35 and y= 45 determine the value of rand direction…

Q: If vector A=[25, 30degrees] and vector B=-6i +14j , then what is the direction of A+B?

A: The Direction of A+B can be calculated in given steps.Given:

Q: Sir Fabro Wants to subtract the position dis placement Yectors. The magnitude of the two vectors 6=…

A: Draw the free-body diagram of the position vectors.

Q: Under what circumstances would a nonzero vector lying in the xxyy plane ever have components that…

A: At 45degree angle a nonzero vector lying in the xxyy plane ever have compo

Q: The position vector of a particle is given by r= At5i + Bt6j,where A and B are constants and i and j…

Q: A radar station locates a sinking ship at range 17.3 kin and bearing 136°clockwise from north. From…

Q: Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30° and 60°…

Q: Consider the vectors: A = 106gwt @30° and B = 156gwt @135°

Concept explainers

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.

Question

The position vector of
a moving
particle is given as
Ret)= C오+st + st')i + (니t + yE)j-bCost k
Find
(a) The speed at t=o
The a cceleration vectors at
and aN
(b)

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

Step 2

Step 3

Step 4

Step 5

Step 6

Step 7

Step by step

Solved in 7 steps with 7 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

Check Your Understanding For vector in a rectangular coordinate system, use Equation 2.29 through Equation 2.32 to show that and .
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
A vector has zero magnitude. Is it necessary to specify its direction? Explain.
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
The F-35B Lighting II is a short-takeoff and vertical landing fighter jet. If it does a vertical takeoff to 20.00-rn height above the ground and then follows a flight path angled at 30 with respect to the ground for 20.00 km, what is the final displacement?
A bird files straight northeast a distance of 95.0 km for 3.0 h. With the x -axis due east and the y -axis due north, what is the displacement in unit vector notation for the bird? What is the average velocity for the trip?
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
For vectors and , calculate (a) and its magnitude and direction angle, and (b) and its magnitude and direction angle.
In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?
Check Your Understanding Two motorboats named Alice and Bob are moving on a lake. Given the information about their velocity vectors in each of the following situations, Indicate whether their velocity vectors are equal or otherwise. (a) Alice moves north at 6 knots and Bob moves west at 6 knots. (b) Alice moves west at 6 knots and Bob moves west a 3 knots. (C) Alice moves northeast at 6 knots and Bob moves south at 3 knots. (d) Alice moves northeast at 6 knots and Bob moves southwest a 6 knots. (e) Alice moves northeast at 2 knots and Bob moves closer to the shore northeast at 2 knots.