A particle moves along the x-axis according to the following expression: x= 20.0 cm + 1.2 cm sin[(0.5 Hz)t - 0.1 rad] A. What is the velocity of the particle when time t=2.0 s? B. What is the acceleration of the particle when time t=2.0 s?

A particle moves along the x-axis according to the following expression: x= 20.0 cm + 1.2 cm sin[(0.5 Hz)t - 0.1 rad] A. What is the velocity of the particle when time t=2.0 s? B. What is the acceleration of the particle when time t=2.0 s?

Name: A particle moves along the x-axis according to the following expressio
Uploaded: 2024-03-05T11:56:34.000Z
Channel: Bartleby
Description: A particle moves along the x-axis according to the following expression:x= 20.0 cm + 1.2 cm sin[(0.5 Hz)t - 0.1 rad]A. What is the velocity of the particle when time t=2.0 s?B. What is the acceleration of the particle when time t=2.0 s?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter2: One Dimensional Motion

Section: Chapter Questions

Problem 30PQ: A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the...

See similar textbooks

Similar questions

A The instantaneous speed of a particle moving along one straight line is v(t) = ate5t, where the speed v is measured in meters per second, the time t is measured in seconds, and the magnitude of the constant a is measured in meters per second squared. What is its maximum speed, expressed as a multiple of a?
An object has an initial velocity v = 2.4i + 4.5j m/s. Over a period of time t = 2.9 s, its velocity becames v2 = 2.4i +35 m/s. The magnitude of the object's acceleration (in m/s?) is: a. 1.73 b. 0.52 c. 2.59 d. 3.07 e. 0.26
A particle moves along the x axis and its position as a function of time is x(t) = (18.9 m/s)t - (1.6 m/s2)t2. A: What is the instantaneous velocity in m/s at t=2.4 B: What is the instantaneous velocity in m/s at t=3.3 C: what is the average velocity between t=2.4s and t=3.3s in m/s?
1. The motion of a particle is given by the equation s = 3t4 -+ 4t2 where s is in foot and t is in seconds. Compute the value of: a. v when t = 2 seconds. b. a when t = 2 seconds.
1. A particle started at x0 = 2 m moved at a velocity 3t^2 m/s. Find the final position of the particle at t =3 s. CHOICES x = 27 m x = 29 m x = 31 m x = 33 m 2. Two particles are moving at two different speeds, v1 = 4t^2 m/s and v2 = 2t^3 m/s. At what time will the two objects have the same value for acceleration? CHOICES 0.9683 s 1.1356 s 1.3333 s 2.3333 s
2. a. A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is given by r(t) = 6t4- 2t³ -12t²+3t+3 where r is in meters and t is in seconds. e. What is a uniform motion? [10] f. Find the average acceleration of the particle between t = 0 and t = 2s_[12] g. When is the acceleration zero? [12]
An object has an initial velocity v = 2.4i + 4.5j m/s. Over a period of time t = 2.9 s, its velocity becames v2 = 2.4i +35 m/s. The magnitude of the object's acceleration (in m/s?) is: a. 1.73 b. 0.52 с. 2.59 d. 3.07 e. 0.26
A particle moves along the x-axis so that its velocity at any time t > 0 is given by v(t)=(2π−5)t−sin(πt). A. Find the acceleration at any time t. B. Find the minimum acceleration of the particle over the interval [0,3]. C. Find the maximum velocity of the particle over the interval [0,2].
1. The position of a particle is given by the function: S(t) = t³ – 6t² + 9t where t is in scconds, S(t) is in meters and 0 < t < 5. a. Write the velocity function and find the velocity after 0.5 seconds, 2 seconds and 4 seconds. b. Find the times when the particle is at rest. Then find the position of the particle when it is at rest and at t=0 and t=5. c. Draw a diagram to represent the motion of the particle. Label the times and positions of the particle and the direction in which it is traveling.
The motion of a particle is described by the position function s(t) = t^3-15t^2 + 63t, t>0 where t is measured in seconds and s in meters.a. When is the particle at rest?b. When is the particle moving in a positive direction?c. Draw a diagram to illustrate the motion of the particle for the first 10seconds.
2. a. A particle is undergoing a uniform rectilinear motion and the displacement as a function of time is given by r(t) = 6tª- 2t³ -12t²+3t+3 where r is in meters and t is in seconds. b. What is a uniform rectilinear motion? c. Find the average acceleration of the particle between t = 0 and t = 2s d. When is the acceleration zero? = 3. The position of a particular particle as a function of time is given by r 9.60t i+ 8.58 j - 1.00t² k) m. Determine the particle's velocity and acceleration as a function of time.
A particle is moving with a motion defined by x = 6t + 2t m, what is the equation for the acceleration? A. a =0 B. a = 36t m/s? = 3t/10 + t/3 m/s? D. a = 18t? +2 m/s E. None of the above. C. a