physics
posted by Matthews .
Find the velocity v and position r as functions of t for a particle of mass m which starts from rest at x=0 at time t=0 and subject to the following forces:
F=Fo
F=Fo +bti
F=Fo coswt
F=kt^2

physics 
drwls
In each case, F/m is the acceleration.
Integrate that twice to get x vs time. You will need the fact that x=0 and V=0 at t=0.
I have no idea what the "i" is in the second equation. It cannot be the square root of 1.
Respond to this Question
Similar Questions

physics
A particle has a constant acceleration of a = (5.5 m/s2)i + (3.7 m/s2)j . At time t = 0, the velocity is zero and the position vector is r0 = (9.8 m)i. (a) Find the velocity and position vectors as functions of time t. (b) Find the … 
physics
A particle has a constant acceleration of = (5.5 m/s2) + (3.7 m/s2) . At time t = 0, the velocity is zero and the position vector is 0 = (9.8 m). (a) Find the velocity and position vectors as functions of time t. (b) Find the equation … 
Calculus
a particle starts at time t = 0 and moves along the x axis so that its position at any time t>= 0 is given by x(t) = ((t1)^3)(2t3) a.find the velocity of the particle at any time t>= 0 b. for what values of t is the velocity … 
physics
At t= 0, a particle starts from rest at x= 0, y= 0, and moves in the xy plane with an acceleration >a (vector) = (4.0ihat+ 3.0jhat)m/s^2. Assume t is in seconds. Determine the x component of velocity as a function of time t. Determine … 
physics
The vector position of a 3.75 g particle moving in the xy plane varies in time according to the following equation. At the same time, the vector position of a 5.20 g particle varies according to the following equation. For each equation, … 
Physics
F=6kt This force acts on a particle of mass "m" that moves along a line. If the particle starts from rest, determine its velocity and position at time t. 
math
a particle starts at time t = 0 and moves along the x  axis so that its position at any time t is greater than or equal to zero is given x(t) = (t1)^3(2t3) A. Find the velocity of the particle at any time t greater than or equal … 
Physics
At t=0 a particle starts from rest at x=0, y=0 and moves in the xy plane with an acceleration a=(4.0i+3.0j)m/s^2. Determine (a) the x and y components of velocity, (b) the speed of the particle, and (c) the position of the particle, … 
Calculus
a particle moves along the xaxis at a velocity of v(t)=1 sqrt(t), t>0. at time t=1 , its position is x=4. find the acceleration and position functions for the particle 
calculus
Consider a particle moving along the xaxis where x(t) is the position of the particle at time t, x'(t) is its velocity, and x''(t) is its acceleration. A particle moves along the xaxis at a velocity of v(t) = 5/√t, t > 0. …