Calculus
posted by Dalton .
A particle travels along the xaxis so that its velocity is given by v(t)=cos3x for 0<(or equal to)t<(or equal to)5. When t=0, the particle is at x=5.
a. What is the smallest xcoordinate of the particle?
b. What is the total distance traveled?
c. At what t is the particle moving right?
This is from my antiderivative chapter. Pleas help!
Respond to this Question
Similar Questions

Calculus (Answer Check)
Are my answers right? If they are wrong you don't have to tell me how to do it its okay =) A particle starts at time t=0 and moves along the xaxis so that its position at any time t(greater or equal to) 0 is given by x(t)=(t1)^3 
Calculus (Answer Check)
A particle moves along the xaxis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t1)(t3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the … 
Calculus (Answer Check)
A particle moves along the xaxis so that its velocity at time t, 0(less than or equal)t(greater or equal to)5 is given by v(t)=3(t1)(t3). at time t=2 the position of the particle is x(2)=0. 1. find the minimum acceleration of the … 
Calculus
At time t >or= to 0, the position of a particle moving along the xaxis is given by x(t)= (t^3/3)+2t+2. For what value of t in the interval [0,3] will the instantaneous velocity of the particle equal the average velocity of the … 
calculus
5. A particle moves along the y – axis with velocity given by v(t)=tsine(t^2) for t>=0 . a. In which direction (up or down) is the particle moving at time t = 1.5? 
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 … 
Calculus
A particle moves along the xaxis with the velocity given by v(t)=3t/(1+t^2) for t >or equal to 0. When t=0, the particle is at the point (4,0). 1. Determine the maximum velocity for the particle. Justify your answer. 2. Determine … 
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 vaxis scale is set by vs = 7.0 m/s. (a) What is the coordinate … 
Calculus
Hi! I need help with this problem: For 0(smaller or equal to) t (smaller or equal to) 9, a particle moves along the xaxis. The velocity of the particle is given by v(t)= (sin pi/4 t). The particle is at position x= 4 when t=0. a) … 
Calculus
The Question: A particle moves along the Xaxis so that at time t > or equal to 0 its position is given by x(t) = cos(√t). What is the velocity of the particle at the first instance the particle is at the origin?