The position of a particle is given by x = 3.2 cos πt, where x is in meters and t is in seconds.
(a) Find the maximum speed and maximum acceleration of the
particle.
_____________m/s
_____________m/s2
(b) Find the speed and acceleration of the particle when x
= 2.4 m.
______________m/s
_______________m/s2
The position of a particle is given by x = 3.2 cos πt, where x is...
The position of a particle is given in cm by x = (4) cos 4πt, where t is in seconds. (a) Find the maximum speed. m/s (b) Find the maximum acceleration of the particle. m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction?
The position of a particle is given in cm by x = (7) cos 9?t, where t is in seconds. (a) Find the maximum speed. ...... m/s (b) Find the maximum acceleration of the particle. ...... m/s2 (c) What is the first time that the particle is at x = 0 and moving in the +x direction? ....... s
the position of a particle as a function of time is given by x = 3.8cos (1.25t + 0.52) where t is in seconds and x is in meters a) find the period (in s) b) acceleration (m / s2) at t = 2.0s
3.) The position of a particle is given by x(t) = 3t3 – 2t2 – 5t + 10, where t is in seconds and x is in meters. Find the initial position of the particle. Find the position of the particle after 5 seconds. Find the average velocity from 0 sec to t = 5sec Find the instantaneous velocity as a function of time Find the instantaneous velocity at t = 2 seconds. Find the instantaneous velocity at t=4 seconds...
A particle’s motion is described by the following equations: x = 0.2cos(πt/2) y = 0.2sin(πt/2) where x and y are in meters and t is in seconds, and the trigonometric arguments are in radians. a. Sketch the x-component of displacement from t = 0 to t = 6 s. b. Sketch the y-component of displacement from t = 0 to t = 6 s. c. Write the velocity vector as a function of time. d. Write the acceleration vector as...
the position of a particle moving along an x axis is given by x= 15t^2-5t^3, where x is in meters and t is in seconds. Determine a) the position ,b) the velocity,and c) the acceleration of the particle at t= 7.00s d) what is the maximum positive coordinate reached by the particle
The position of a particle is given by the expression x = 4.00 cos (2.00πt + π/2), where x is in meters and t is in seconds. (a) Determine the frequency (b) Determine period of the motion(c) Determine the amplitude of the motion.(d) Determine the phase constant. (e) Determine the position of the particle at t = 0.350 s.
6. The position of a particle moving along the x axis is given by x in meters and t in seconds. What is the position of the particle when it achi maximum speed in the positive x direction? ANS: 16 m
Q1 The position of a particle moving along an x axis is given by x = 1242 – 213, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 3 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (1+2+1+1+1]
The position of a particle is given by the expression x = 4.00 cos (6.00πt + π), where x is in meters and t is in seconds. (a) Determine the frequency. Incorrect: Your answer is incorrect. How is the frequency related to the angular frequency? Hz (b) Determine period of the motion. Incorrect: Your answer is incorrect. How is the period related to the frequency? s (c) Determine the amplitude of the motion. Incorrect: Your answer is incorrect. The amplitude...