Physics
posted by Joan
A particle moving along the xaxis has its velocity described by the function v =2t squared m/s, where t is in s. Its initial position is x = 2.8m at t = 0 s. At 2.7s , what is the particle's position?

jaykim
v=dx/dt=2t^2 dx=2t^2dt integrating both side gives: x=2/3t^3+c substituting t=0 and x=2.8 gives c=2.8 therefore x=2/3t^3+2.8 so when t=2.7 x=2/3(2.7)^3+2.8=15.9m
Respond to this Question
Similar Questions

physics
The velocity graph of a particle moving along the xaxis is shown. The particle has zero velocity at t=0.00 s and reaches a maximum velocity, vmax, after a total elapsed time, ttotal. If the initial position of the particle is x0=7.28 … 
physics
The acceleration of a particle moving only on a horizontal plane is given by a= 3ti +4tj, where a is in meters per secondsquared and t is in seconds. At t = 0s, the position vector r= (20.0 m)i + (40.0 m)j locates the particle, which … 
physics
The acceleration of a particle moving only on a horizontal plane is given by a= 3ti +4tj, where a is in meters per secondsquared and t is in seconds. At t = 0s, the position vector r= (20.0 m)i + (40.0 m)j locates the particle, which … 
Physics
A particle moved along the x axis with a constant acceleration of 85.0 meters per second squared. The initial position of the particle was at the origin and its initial velocity was +325 meters per second. Find the position of the … 
Dynamics
The acceleration of a particle moving along a straight line is inversely proportional to its speed with the constant of porpotionality being k. The body starts from the position s = x0 ^i with initial speed v0. Determine the velocity … 
physics
The velocityversustime graph is shown for a particle moving along the xaxis. Its initial position is x0 = 1.8m at t0 =0s. Part A What is the particle's position at t=1.0s? 
PHYSICS
The position of a particle moving on a smooth horizontal floor is given as a function of time according to the equation x=ut+1/2at^2. At time t=0, the particle has the velocity u. Obtain an expression for the velocity as the function … 
Physics
The velocity graph of a particle moving along the xaxis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =9.35m, … 
Physics
The velocity graph of a particle moving along the xaxis is shown. The particle has zero velocity at t=0.00s and reaches a maximum velocity, vmax, after a total elapsed time, t total. If the initial position of the particle is x0 =6.22m, … 
Calculus
The position of a particle moving along the xaxis as a function of time,t, is given by x(t)=(1/6)t^3t^2+3t1 for tâ‰¥0. The particle's velocity becomes three times its initial velocity when t=?