Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 3, Problem 52P
(a)
To determine
To Find: The velocity and position vectors as functions of time.
(b)
To determine
Finding the equation of the particle’s path and plotting it.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The equation 7(t) = 6 cos(3t) i +4 sin(3t) j gives the position of a particle in the xy-plane at time t. Find a function f(x, y) so that the graph of f(x, y) = 1 is the path
%3D
of the particle. Then find the particle's velocity and acceleration vectors at time
= 7.
Path of the particle is described by 1 =
Velocity vector at t = 7n is
Acceleration vector at t = 7n is
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.
A particle has a constant acceleration of à = (6.7 m/s2)î + (3.8 m/s2)ĵ . At time t = 0, the velocity is zero and the position vector is ro = (9.3 m)î.
(a) Find the velocity and position vectors as functions of time t.
m/s
m
(b) Find the equation of the particle's path in the xy plane. (Use the following as necessary: x.)
y =
m
Sketch the path. Choose File No file chosen
This answer has not been graded yet.
еВok
Chapter 3 Solutions
Physics for Scientists and Engineers
Ch. 3 - Prob. 1PCh. 3 - Prob. 2PCh. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10P
Ch. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - Prob. 57PCh. 3 - Prob. 58PCh. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - Prob. 62PCh. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75PCh. 3 - Prob. 76PCh. 3 - Prob. 77PCh. 3 - Prob. 78PCh. 3 - Prob. 79PCh. 3 - Prob. 80PCh. 3 - Prob. 81PCh. 3 - Prob. 82PCh. 3 - Prob. 83PCh. 3 - Prob. 84PCh. 3 - Prob. 85PCh. 3 - Prob. 86PCh. 3 - Prob. 87PCh. 3 - Prob. 88PCh. 3 - Prob. 89PCh. 3 - Prob. 90PCh. 3 - Prob. 91PCh. 3 - Prob. 92PCh. 3 - Prob. 93PCh. 3 - Prob. 94PCh. 3 - Prob. 95PCh. 3 - Prob. 96PCh. 3 - Prob. 97PCh. 3 - Prob. 98PCh. 3 - Prob. 99PCh. 3 - Prob. 100PCh. 3 - Prob. 101PCh. 3 - Prob. 102PCh. 3 - Prob. 103PCh. 3 - Prob. 104PCh. 3 - Prob. 105PCh. 3 - Prob. 106PCh. 3 - Prob. 107PCh. 3 - Prob. 108PCh. 3 - Prob. 109PCh. 3 - Prob. 110PCh. 3 - Prob. 111PCh. 3 - Prob. 112PCh. 3 - Prob. 113PCh. 3 - Prob. 114PCh. 3 - Prob. 115PCh. 3 - Prob. 116PCh. 3 - Prob. 117PCh. 3 - Prob. 118PCh. 3 - Prob. 119PCh. 3 - Prob. 120PCh. 3 - Prob. 121PCh. 3 - Prob. 122P
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
- Consider a particle moving in three-dimensional space. Suppose its position vector is given by i = 4 î+ 3ĵ– 2t k, where t denotes time. Calculate the particle's velocity.arrow_forwardThe position of a particle in the xy-plane at time t is r(t) = (e¹) 1 + (40 e²¹) ₁. particle. Then find the particle's velocity and acceleration vectors at t = In 7. The equation for the path of the particle is y= j. Find an equation in x and y whose graph is the path of thearrow_forwardA particle has a constant acceleration of å = (5.6 m/s2)î + (3.9 m/s2)ĵ . At time t = 0, the velocity is zero and the position vector is o = (9.0 m)î. (a) Find the velocity and position vectors as functions of time t. m/s (b) Find the equation of the particle's path in the xy plane. (Use the following as necessary: x.) y = m Sketch the path. Choose File No file chosenarrow_forward
- The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t. Find the particle's velocity and acceleration vectors. Then write the particle's velocity at t= 0 as a product of its speed and direction. What is the velocity vector? v(t) = (D i+ (Di+ karrow_forwardA particle moving in xy plane has acceleration vector (VE,) for all tz O. The particle is at rest at time t = 0. How fast is the particle moving at time t = 3? 1+t2 3.231 3.464 O 1.249 O 3.682arrow_forwardAn object moves in the x-y plane with coordinates given as a function of time by: x(t) = Rcos(ωt) y(t) = Rsin(ωt) where R and ω are constants. What is the velocity vector of the object at any time t?arrow_forward
- A particle P is moving on the x-axis with constant deceleration 2.5 ms?. At time t = 0, the particle P passes through the origin 0, moving in the positive direction of x with speed 15 ms. Find a the time between the instant when P first passes through O and the instant when it returns to 0, b the total distance travelled by P during this time.arrow_forwardAt time t = 0, a particle is located at the point (1,3,8). It travels in a straight line to the point (5,9,6), has speed 7 at (1,3,8) and constant acceleration 4i + 6j - 2k. Find an equation for the position vector r(t) of the particle at time t. The equation for the position vector r(t) of the particle at time t is r(t) = (Type exact answers, using radicals as needed.) i+ j+ k.arrow_forwardUse the given acceleration function and initial conditions to find the velocity vector v(t), and position vector r(t). Then find the position at time t = 3. a(t) = tj + tk v(1) = 7j, r(1) = 0 v(t) = r(t) = r(3) = Need Help? Read Itarrow_forward
- 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.arrow_forwardA particle is moving in the i- j plane with an acceleration of (1 – t)i +tj where t is the time. The particle is projected from the with an initial velocity of 3/2ims . Find the displacement of the particle at time t and the value of t when it is moving in the direction of motion. What is the angle between its velocity and displacement at this time?arrow_forwardGiven that the acceleration vector is a(t)=(−16cos(−4t))i+(−16sin(−4t))j+(1t)k, the initial velocity is v(0)=i+k, and the initial position vector is r(0)=i+j+k, compute: A. The velocity vector v(t) B. The position vector r(t)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Introduction to Vectors and Their Operations; Author: Professor Dave Explains;https://www.youtube.com/watch?v=KBSCMTYaH1s;License: Standard YouTube License, CC-BY