A particle moves along a line so that at time t, its position is s= 4 sin 4t.
a) when does the particle change direction?
b) what is the particle's maximum velocity?
c) what is the particle's minimum distance from the origin? What is its maximum distance from the origin?

Question

A particle moves along a line so that at time t, its position is s= 4 sin 4t.
 a) when does the particle change direction?
 b) what is the particle's maximum velocity?
 c) what is the particle's minimum distance from the origin? What is its maximum distance from the origin?

anonymous · Answer

a   when it reaches its period every 2pi/4 
b   to find max  v take derivitive of s and take it one more time and set it to 0
c  I think 4  its amplitude is max distance from origin but I not sure.   0 will be min.

anonymous · Answer

How did you solve it..

anonymous · Answer

for a b or c?

You would have to take som kin of arcsin or arccos

anonymous · Answer

I need help for all parts ... If you could.write the steps i would be very thankful