Question

A particle of mass m is initially at x = 28 cm with a period of...

A particle of mass m is initially at x = 28 cm with a period of 1.3 s and moving with velocity v0 = +52 cm/s. Write expressions for the following. (Round numerical values in your answers to two decimal places.)

(a) the position x as a function of t x(t) = _____ m

(b) the velocity vx as a function of t vx(t) = _____ m/s

(c) the acceleration ax as a function of t ax(t) = _____ m/s2

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1) The position of a particle is given in cm by x = (4) cos 3πt,...
1) The position of a particle is given in cm by x = (4) cos 3πt, where t is in seconds. (a) Find the maximum speed.    m/s (b) Find the maximum acceleration of the particle. m/s2 2) An object of mass m is suspended from a vertical spring of force constant 1692 N/m. When the object is pulled down 2.51 cm from equilibrium and released from rest, the object oscillates at 5.10 Hz. Write expressions for the acceleration ax...
A particle moves along the x axis. It is initially at the position 0.150 m, moving...
A particle moves along the x axis. It is initially at the position 0.150 m, moving with velocity 0.080 m/s and acceleration -0.340 m/s2. Suppose it moves with constant acceleration for 5.60 s. (c) Find its position (d) Find its velocity at the end of this time interval.
A particle moves along the x axis. It is initially at the position 0.150 m, moving...
A particle moves along the x axis. It is initially at the position 0.150 m, moving with velocity 0.080 m/s and acceleration -0.340 m/s2. Suppose it moves with constant acceleration for 5.60 s. (a) Find the position of the particle after this time. (b) Find its velocity at the end of this time interval. Next, assume it moves with simple harmonic motion for 5.60 s and x = 0 is its equilibrium position. (Assume that the velocity and acceleration is...
The position of a particle is given in cm by x = (2) cos 6πt, where...
The position of a particle is given in cm by x = (2) cos 6πt, 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 is given in cm by x = (9) cos 5πt, where...
The position of a particle is given in cm by x = (9) cos 5πt, 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
A soccer ball is kicked in such a manner that the x and y components of...
A soccer ball is kicked in such a manner that the x and y components of its position at any time are given by x = (19.6 m/s)t and y = (14.5 m/s)t − (4.90 m/s2)t2, where x and y will be in meters when t is in seconds. (a) Determine expressions for the x and y components of its velocity at any time. (Use the following as necessary: t.) vx =   m/s vy =   m/s (b) Determine expressions for...
The velocity of a particle moving along the x-axis varies with time according to v(t) =...
The velocity of a particle moving along the x-axis varies with time according to v(t) = A + Bt−1, where A = 7 m/s, B = 0.33 m, and 1.0 s ≤ t ≤ 8.0 s. Determine the acceleration (in m/s2) and position (in m) of the particle at t = 2.6 s and t = 5.6 s. Assume that x(t = 1 s) = 0. t = 2.6 s acceleration  m/s2 position  m ? t = 5.6 s acceleration  m/s2   position  m ?
A particle moves along the x axis. It is initially at the position 0.230 m, moving...
A particle moves along the x axis. It is initially at the position 0.230 m, moving with velocity 0.200 m/s and acceleration -0.420 m/s2. Suppose it moves with constant acceleration for 5.30 s. (a) Find the position of the particle after this time. m (b) Find its velocity at the end of this time interval. m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple...
A particle moves along the x axis. It is initially at the position 0.340 m, moving...
A particle moves along the x axis. It is initially at the position 0.340 m, moving with velocity 0.240 m/s and acceleration -0.350 m/s2. Suppose it moves with constant acceleration for 3.20 s. (a) Find the position of the particle after this time. m (b) Find its velocity at the end of this time interval.   m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple...
The position of a particle is given in cm by x = (2) cos 9?t, where...
The position of a particle is given in cm by x = (2) cos 9?t, where t is in seconds. (a) Find the maximum speed. 0.565 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