# physics

posted by .

The acceleration of a certain particle is a function of time: a(t) = pt^2-qt^3, where p and q are constants. Initially, the velocity and position of the particle are zero.
(a) What is the velocity as a function of time?
(b) What is the position as a function of time?

• physics -

v=∫(pt²-qt³)dt = p•t^3/3 -q•t^4/4,
s=∫v•dt=p•t^4/12 - q•t^5/20

## Similar Questions

1. ### Maths mst

Question – 3: Consider a particle moving according to the velocity function, v(t) = 2a-3exp(-2t)+2/t+2,for t>0. (a) If the net distance,d,covered by the particle in the time interval,[0,3],is 20,find the value of a. What is the …
2. ### 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 …
3. ### physics

which of collowing situations describe a particle that might have a non-zero velocity?
4. ### physcis ! HELP !!!!

which of collowing situations describe a particle that might have a non-zero velocity?
5. ### Physics

The function ax(t) describes the acceleration of a particle moving along the x-axis. At time t=0, the particle is located at the position x0 and the velocity of the particle is zero. ax(t)=a0e−bt The numerical values of all parameters …
6. ### 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 …
7. ### Physics

A particle starts from the origin at t = 0 and moves along the positive x axis. A graph of the velocity of the particle as a function of the time is shown in the figure; the v-axis scale is set by vs = 7.0 m/s. (a) What is the coordinate …
8. ### 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 …
9. ### Math

Context: The function v(t) represents the velocity of a particle moving along a horizontal line at any time, t, greater than or equal to zero. If the velocity is positive, the particle moves to the right. If the velocity is negative, …
10. ### Physics

The velocity graph of a particle moving along the x-axis 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, …

More Similar Questions