Answered: A particle, initially at rest, moves on…

Science

Physics

A particle, initially at rest, moves on a horizontal plane from ₁ = (2î + 3ĵ) m to 72 = (-î+ 2ĵ) m in 2 seconds.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter1: Matrices, Vectors, And Vector Calculus

Section: Chapter Questions

Problem 1.22P

See similar textbooks

Related questions

Q: An object is propelled from the origin with acceleration ? =(4.00?̂+2.00?̂) ?/?2 and initial…

Q: Q3: What is the sum a +b if a (-4.0 m) i+(3.0 m) "j and b (-11.0 m) i+ (7.0 m) j? What are the (b)…

Q: c) A ball kicked from the ground towards a wall 40 m away. The initial velocity of the ball is 25…

A: Solution:

Q: 1. Oscar throws a ball toward a wall with a speed of 25 m/s at an angle of 40 degrees above ground.…

A: Given, initial speed of the ball, u = 25 ms angle at which it projects, θ= 40° wall is at, R = 22 m…

Q: Hi please help, I am not sure how to solve this problem. If you are walking 400m east but then…

Q: A hiker walks 2.00 km north and then 3.00 km east, all in 2.5 hours. calculate the magnitude and…

A: Given data The distance walked by the hiker towards the north, x = 2.00 km Then the hiker walked y =…

Q: b) What total horizontal distance does the ball travel? c) What is the angle (below the horizontal)…

Q: In a circus, a “human cannonball” is launched from a cannon and lands in a net. The cannon releases…

A: Given: initial velocity u=18.3 m/sangle θ=40°

Q: a. Vector 'a' has magnitude 5.0m and is directed east. Vector 'b' has magnitude 4.0m and is directed…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Problem 1 A cannonball is fired from the roof of a house, which is 3.5 m above ground level. The…

A: Given Data : - The height of the roof of the house is h = 3.5 m. The speed of the ball at the exit…

Q: A projectile is fired up at t=0 with an initial speed v at an angle e with respect to the horizontal…

A: →V = Vx i^ + Vy j^after t = 1 sec →V = 10i^ + 20j^ m/sSince there is no horizontal acceleration…

Q: A ball is thrown horizontally from a height of 5.50 m with an initial speed of 25.0 m/s. A) How long…

A: Part (A) Given: The height from which ball is thrown is h=5.50 m. The initial speed of ball is…

Q: You wish to row straight across a 63 m wide river. You can row at a steady 1.3 m per seconds…

Q: A toy rocket is traveling to the right at 15.0 m/s when it undergoes a constant acceleration of 3.00…

Q: A projectile is launched from ground level at an angle of 30 degrees above the horizontal. Neglect…

A: For projectile motion velocity and acceleration, vectors are shown in figure a = acceleration…

Q: An arrow is fired straight up from a 25.0m high tree top. a)how fast is it moving at the peak of its…

A: The arrow is fired straight up from a height of 25 mSo, initially, the arrow has a potential energy…

Q: SITUATION 1. The position coordinate of a particle which is confined to move along a straight line…

A: GIVEN S=2t3-24t+6 (in meter)

Q: 5. An object is projected horizontally at a speed of 40.0 m/s from the top of a cliff 120 m high. a)…

Q: Vector A, 11.1 m/s X 120° 800 meters to reach point x Vector B, 16.67 m/s 300 meters to reach point…

A: Given,

Q: A truck travels due east for a distance of 1.7 km, turns around and goes due west for 9.2 km and…

A: Total Distance is just the sum of all the distances: D=1.7 km + 9.2 km + 3 km = 13.9 km

Q: A frog leaps off the ground at an angle of 20 degrees to the horizontal. It's in the air for .84…

Q: A player kicked the soccer ball having an initial speed of 21.0 m/s in an angle of 31.0 degrees from…

Q: 1 ) A ball kicked from ground level at an initial velocity of 69 m/s and an angle θ with ground…

A: (a) The expression for the range of a projectile is written as, Here, u, g and θ represent the…

Q: A baseball is hit at the ground level. the ball reaches its maximum height above the ground level…

A: Given: time is taken to achieve maximum height by baseball after hitting the ground (t) = 3.0 s

Q: Q1) A particle initially at the origin and moving at v0 = 2^1-3^j m/s accelerates at a rate a = 2^1…

Q: You throw a ball up at some angle above the horizontal so that its velocity is (v0x, v0y). You then…

Q: If you know the position vectors of a particle at two points along its path and also know the time…

A: As we know that, The average velocity of a particle is defined by the total distance travelled…

Q: Several people stand on a bridge over a river. The bridge is not level, so the people are all…

A: (a) From the kinematics equation, the expression for the displacement is:

Q: A hot air balloon is travelling vertically upward at a constant speed of 3.7 m/s. When it is 27 m…

Q: Draw a motion diagram for the part of the jump where the person is the process of landing. Indicate…

Q: A particle moves along xy-plane with a position of a (t) = sin(2t) + 3 cos(4t) y (t) = sin(t) – 6…

A: The particle moves in the X-Y plane.Hence the position vector will be of the form r=xi+yj Velocity…

Q: Given, position vector of a particle, r(t) = 2t i. Which of the following statements is/are true? O…

A: Given: The position vector of the object is given as. r→t=2t2i^…

Q: A ball is thrown horizontally from a height of 5.50m with an initial speed of 25.0m/s.A) How long…

A: initial height (h) = 5.50 m initial velocity (u) in horizontal direction = 25 ms

Q: Can an object have a negative acceleration and be speeding up? If so, describe a possible physical…

A: Answer - Yes Explanation If the object moves towards the negative axis, its velocity is negative.…

Q: A ball is thrown horizontally from a height of 5.50 m with an initial speed of 25.0 m/s. A) How long…

A: Given Initial velocity v0 = 25.0 m/s Height y0 = 5.50 m

Concept explainers

Scalars and Vectors

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

Question

a) What is the distance it travelled during 2 seconds?
b) In what direction did it ravel (angle with the positive x-axis)?
c) What is the acceleration vector of this particle?

A particle, initially at rest, moves on a horizontal plane from ₁ = (2î + 3ĵ) m to 72 =
(-î+ 2ĵ) m in 2 seconds.

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 3

VIEW

Step by step

Solved in 3 steps with 3 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

A particle moves in one dimension according to the equation: x(t)= 2.0m + (5.0m/s)t - (6.2m/s2)t2. Determine x at t=2.0s, vx at t=0.2s, and ax at t=3.1s.
Your answer is partially correct. A particle leaves the origin with an initial velocity = (2.54î) m/s and a constant acceleration a ( − 4.67î – 1.95ĵ) m/s². When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position vector? (a) Number -1.07 (b) Number Save for Later i î+ Ĵ Units i m/s Ĵ Units
A particle is moving in three dimensions and its position vector is given by; r→(t)=(1.6t^2+3.7t)i+(3.7t−1.4)j+(4.6t^3+3.8t)k where r is in meters and ?t is in seconds. Determine the magnitude of the average acceleration between t=0s and t=2s. Express your answer in units of m/s2 using one decimal place.
The equation r(t) = ( sin t)i + ( cos t)j + (t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. π Then write the particle's velocity at t= as a product of its speed and direction. The velocity vector is v(t) = (i+j+ k.
The position of a particle in space at time tis: r(t) = (sec(t)) * i + (tan t) * j + 4/3 tk. Write the particle's velocity at time t = (pi / 6) as the product of its speed and direction.
A proton initially has = (-9.20)î + (8.00)î + (−9.20) and then 6.20 s later has 7 = (−19.0)î + (8.00)Ĵ + (−16.0)Â (in ✓ meters per second). (a) For that 6.20 s, what is the proton's average acceleration a avg in unit vector notation, (b) in magnitude, and (c) the angle between a avg and the positive direction of the x axis? (a) Number (b) Number (c) Number i pada Units Units i k Units
Why is (j + k) = i?I see that i x i = 0, that makes sense. But I thought that j x k = i? not j + k.
A badger looking for food travels 8.0 km [S], 3.0 km [E], 5.0 km [S], 9.0 km [N], then 3.0 km [W]. What is the badger's total displacement?
The velocity i of a particle moving in the xy plane is given by 7 = ( 5.50 - 5.00 ji + 9.00 3. with V in meters per second and t (> 0) in seconds. At I- 1.40 s and in unit-vector notation, what are (a) the x component and (b) the y component of the Eceleratiun? (c) Whien(if uver) is the acceluration zero? (d) At wlat pusitive time does the speed equal 10.0 mh? (a) Numher 7 Unit (b) Number 1 Unit {c) Number Unit (d) Number Unit
A bolt is dropped from a bridge under construction, falling 82 m to the valley below the bridge. (a) How much time does it take to pass through the last 14% of its fall? What is its speed (b) when it begins that last 14% of its fall and (c) just before it reaches the ground? (a) Number i (b) Number 37.178 (c) Number 40.09 ! Unit Unit S m/s Unit m/s
Here A=4.5 please try to solve it in 30 minute
A particle leaves the origin with an initial velocity v = (5.84î) m/s and a constant acceleration (- 3.80î – 2.20j) m/s 2. When the particle reaches its maximum x coordinate, what are (a) its velocity, (b) its position á vector? (a) Number i i Units (b) Number i Î+ i i Units