A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x 2t Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis whent = 2 s. 212 – 4t and y = 312-. %3D

A particle which moves with curvilinear motion has coordinates in millimeters which vary with the time t in seconds according to x 2t Determine the magnitudes of the velocity v and acceleration a and the angles which these vectors make with the x-axis whent = 2 s. 212 – 4t and y = 312-. %3D

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: Motion In Two Dimensions

Section: Chapter Questions

Problem 3P: The vector position of a particle varies in time according to the expression r=3.00i6.00t2j, where r...

See similar textbooks

Related questions

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, s(0) =…

Q: Problem 1. An archer fish can bring down its prey, such as insects on a tree branch, by shooting a…

Q: 4 What is the sum of the following vectors? Show your solution A = 3i + 5j - 2k and B = −4i + 2j +…

A: Vector are added by vector additions method which are 1. Triangle rule of vector addition 2.…

Q: VII. Find the magnitude D + E and D- E where vector D = 31 - 4j - 2k and vector E 41-j- 2k. %3D

Q: A = rigure r3.II Problems 11 and 22. Three displacements are 200 m due south, B = 250 m due west,…

Q: W= 11 rad/s r = 4+0.5cos(40) ft Determine: velocity when e= 34 degrees in polar coordinates and…

A: Solution

Q: 17. What is the distance from the initial point on the ground to the point where it lands? a. radius…

Q: II. Two dimensional motion Projectile motion Initial horizontal and vertical velocity Viy= Vi [sine…

A: Note: As per the guidelines, we can only answer first question of multiple question. Sorry for the…

Q: A cannon fires a shell with an initial velocity of 300 m/s at 62.0° above the horizontal. The shell…

Q: The trajectory of a projectile launched from ground is given by the equation y = -0.025x² + 0.5x,…

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: 4. A golf ball is struck with a speed of 70 ft/s, angled 40° from the plane of the ground. The…

Q: 5. A ball is thrown following a projectile motion, It is known that the horizontal distance (range)…

A: Given: R=v2gsin2θ use double angle trigonometric transformation, which is => sin2θ=2sinθcosθ…

Q: Answer part B). What total time is the object in the air for?

A: b) The expression for the time of flight in air is,

Q: 70. (а) If A x F — ВхF, can we conclude B ? (b) If A · F = B · F , can we conclude A = B ? (c) If F…

Q: 8.18. A particle moves in the x, y plane according to x , y = 2. Compute its velocity and…

Q: 2. A ball projected with an initial upward velocity component of 20 m/s and a horizontal velocity…

A: Note :- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: A marksman points a rifle from the standing position at a tin can 1 km away. It is located at the…

Q: An entirely unrealistic projectile is fired from home plate in a baseball field with no air with an…

A: Given:- The initial velocity vi = 40.0 m/s an angle of 37° above the horizontal Find:- the x- and…

Q: 1. Given two vectors A = 70 m 60° N of E and B =35 m 30° S of E. Determine their resultant…

Q: (II) Figure 3–33 shows two vectors, A and B, whose magni- tudes are A = 6.8 units and B = 5.5 units.…

A: Given: Magnitude of vector A = 6.8 units. Magnitude of vector B = 5.5 units Direction of vector A =…

Q: Q3. A particle moving in an xy plane has components of the position vector of x = (0.0t- 4.0t^2)m…

A: A Cartesian coordinate system is spanned by the pair of orthogonal vectors, where the length of the…

Q: (1) If vector A represents a displacement of 20m [E20N], then vector -A would represent -20m[E20N].…

A: Required : True or False.

Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

Q: Snow is falling vertically at a constant speed of 5.0 m/s. At what angle from the vertical do the…

Q: 1- A motorist drives south at 20.0 m/s for 3.00 min, then turns west and travels at 25.0 m/s for…

A: Given: v = 20 m/s for t = 3 min due south v'= 25 m/s for t'= 2 min due west v''= 30 m/s for t'' =…

Q: (II) A boat, whose speed in still water is 2.50 m/s, must cross a 285-m-wide river and arrive at a…

A: Given: A boat whose speed in still water = 2.50 m/s, the boat must cross a 285 m wide…

Q: 5. An object moving in the x-y plane has a position vector given by: 7 = (2t³ - 5t)i + (6 - t^)ĵ (in…

A: r→ = 2t3-5ti^ + 6-t4 j^e Differentiate w.r.t time V→ = dr→dt= 6t2-5i^…

Q: What is the optimum angle that can reach the maximum range for a given projectile? S

A: The expression for the range of the projectile is △x=v02sin2θg Here v0 is the initial velocity…

Q: A girl throws a set of keys vertically upward to her sister in a window that is 6 m above the…

A: Step 1The distance of window is represented as df. The initial distance can be taken as di

Q: 3. An object is thrown with an angle 370 with horizontal. If the initial velocity of the object is…

Q: 3. What are the horizontal and vertical components of the fourth vector that must be added to…

Q: A projectile is thrown up from the ground with velocity V = 80î + 60j at 53° above the horizontal.…

Q: A projectile moves along the curve y = 2x + (x2/50), where x and y are in ft. If the velocity…

A: Y = 2X+ X²/50 --->(1) Vy = dY/dt = 24 ft/s Let the x-component of the velocity be Vx . =>…

Q: 1. Consider the following displacements A, B and C. What are the magnitude and direction of the…

A: here we define the North as (+j) and South as (-j) A= 7 m north = 7j B= 5 m south = -5j c= 3 m…

Q: trapper walks straight-Iine distancê from Rer cabin to the lake, as shown in the following figure.…

Q: A bird fly on x axis as x=3-35t-t² with x in meter's and t in second determine the best velocity…

A: Given: Equation of motion of the bird:x = 3-35t - t2 -1

Q: (a) an axis through O perpendicular to the page magnitude N.m direction --Select--- (b) an axis…

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: The velocity of a particle is V and is constant. It moves counterclockwise on a circle with center…

Q: %3D What is the magnitude of 4A if vector A = (6 i - 8 j) m? 40 m O 20 m 10 m 30 m

A: Given: Vector A=(6 i - 8 j) m To determine the magnitude of vector 4A.

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

Q: component m/s and a y component of -15 m/s. The particle moves in the xy plane with an x component…

Q: from the horizontal. ne baseball player A hits the baseball at When the ball is directly overhead of…

Q: A ball is shot at a ground level at an angle of 63 degrees with the horizontal with an initial…

Q: x = t2-1 y = t3 - t Find the values of t at which horizontal and vertical tangent lines occur.…

A: Given Data : The equations for x and y are given as : x = t2-1 y = t3 -

Q: wing along a circle of radius r= 4 m, is v(t) = 4t²; where v is in m/s and t is in s. The magnitude…

Q: 5. A ball is thrown following a projectile motion. It is known that the horizontal distance (range)…

Q: Oasis B is 7.0 km due east of oasis A. Starting from oasis A, a camel walks 24 km in a direction…

Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A particle which moves with curvilinear motion has
coordinates in millimeters which vary with the time t
in seconds according to x 2t
Determine the magnitudes of the velocity v and
acceleration a and the angles which these vectors
make with the x-axis whent = 2 s.
212 – 4t and y = 312-.
%3D

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

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) Repeat the problem two problems prior, but for the second leg you walk 20.0 m in a direction 40.0° north of east (which is equivalent to subtracting B from A that is, to finding R=AB ). (b) Repeat the problem two problems prior, but now you first walk 20.0 m in a direction 40.0° south of west and then 12.0 m in a direction 20.0° east of south (which is equivalent to subtracting A from B that is, to finding R=BA=R ). Show that this is the case.
A Three vectors are shown in Figure P3.44, but they are not drawn to scale. The sum of the three vectors is R=F1+F2+F3. If Ry = 0 and F2 = 0.5F3, find Rx in terms of F1.
A rescue plane flies at 198 km/hr (55 m/s) at cruise height of 500m above the ocean over a struggling swimmer the pilot needs to release a rescue capsule so that it hits the water close to the swimmer What should the angle of the pilot's line of sight of the swimmer when the capsule is released?
A gun fires a shell with a velocity of 600 m/sec at an angle of 45°with the horizontal. Neglecting ail' resistance, (a) determine the range of thisgun, (b) determine the maximum height reached by the shell, and (c) determinethe time of flight of this shell on level ground.
The velocity of a particle is V and is constant. It moves counterclockwise on a circle with center "O" and radius R. Draw the circle. When the particle is in the vector R position, draw vector R, vector V, vector A, and vector da/dt(time derivative of acceleration).
The xx-component of a velocity vector that has an angle of 31 ∘∘ to the +xx-axis has a magnitude of 6.0 m/sm/s . What is the magnitude of the velocity? What is the magnitude of the yy-component of the velocity?
man Can swim ab as Peed of 3km/he in still water he wants to cross 500 m wid river flowing at be an angle 2 km/hr He keep himself always of 120° with while swimming. the river flow A) evaluate the time he babes to cross the river B) at what what Paint on the opposite bank will he arrive
A snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50 m at 16.0 from the vertical in the uphill direction as shown in Figure P3.16. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface. Figure P3.16
Figure OQ3.3 shows two vectors D 1, and D2. Which of the possibilities (a) through (d) is the vector D2 - 2D1, or (e) is it none of them?
Suppose you take two steps A and B (that is, two nonzero displacements). Under what circumstances can you end up at your starting point? More generally, under what circumstances can two nonzero vectors add to give zero? Is the maximum distance you can end up from the starting point A+B the sum of the lengths of the two steps?
A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m). (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P3.46. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure P3.46
Give an example in which there are clear distinctions among distance traveled, displacement, and magnitude of displacement. Specifically identify each quantity in your example.