2. Consider a point particle confined to the x-axis which experiences a velocity of ?(?) = 3?2 − 3 ?/? . If the particle starts from rest at x= -1.0 m, find its:
a. Acceleration as a function of time.
b. Position as a function of time.
c. At what time(s) does this particle enter the positive x-axis?
2. Consider a point particle confined to the x-axis which experiences a velocity of ?(?) =...
Student Name 1. A particle confined to motion along the x axis moves with constant acceleration fromx = 2.0 m to x 8.0 m during a 2.5-s time interval. The velocity of the particle at x - 8.0 m is 2.8 m/s. What is the acceleration during this time interval? 2. The polar coordinates of a point are r=5.50 m and Angle 240°. What are the Cartesian coordinates of this point? 3. On occasion, the notation A= [A, O] will...
A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 6.0 m/s. (a) what is the coordinate of the particle at t = 5.0 s? (b) what is the velocity of the particle at t = 5.0 s? (c) what is the acceleration of the particle...
Consider a particle which is confined to move along the positive x-axis, and that has a Hamiltonian where is a positive real constant having the dimensions of energy. Find the normalized wave function that corresponds to an energy eigenvalue of . The function should be finite everywhere along the positive x-axis and be square integrable. H = 8
A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 2.0 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and...
22 The position of a particle moving along the x axis depends on me according to the equation x ct-b3, where x is in me- ters and t in seconds, What are the units of (a) constant c and (b) con- stant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From0.0s to t 4.0s, (d) what distance does the particle move and (e) what is...
The position of a particle moving along the x axis depends on the time according to the equation x = ct2-bt3, where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does the particle reach its maximum positive x position? From t=0.0s to t=4.0 s, (d) what distance does the particle move and (e) what is...
The position of a particle moving along an x axis is given by x = 14.0t^2 - 5.00t^3, where x is in meters and t is in seconds. Determine the position, the velocity, and the acceleration of the particle at t = 6.00 s. What is the maximum positive coordinate reached by the particle and at what time is it reached? What is the maximum positive velocity reached by the particle and at what time is it reached? What is...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.50cm, and the frequency is 2.30 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x...
9. A particle moves along the x-axis so that its velocity v at time t, for0 sts 5, is given by v(t) In(t2-3t +3). The particle is at position x 8 at time t 0. a) Find the acceleration of the particle at time t 4. b) Find all times t in the open interval 0<t <5 at which the particle changes direction. During which time intervals, for 0st s 5, does the particle travel to the left? c) Find...
A 3.5 kg particle moving along the x-axis experiences the force shown in the figure. The particle's velocity is 2.5 m/s at x = 0 m. What is its velocity at x = 2 m and4 m? (Indicate the direction with the sign of your answer. Assume the particle is initially traveling in the positive x-direction.)