The function v(t) is the velocity in m/sec of a particle moving along the x-axis. Use analytic methods to do each of the following: (a) Determine when the particle is moving to the right, to the left, and stopped. (b) Find the particle's displacement for the given time interval. If s(0) = 3, what is the particle's final position? (c) Find the total distance traveled by the particle. v(t) = 5 cos t, 0 ≤ t ≤ 2π

a) Right 0≤p<π/2 and 3π/2<p≤2π

  left  π/2 ≤ p ≤3π/2

  stopped  p=π/2 and p=3π/2

b)  5.5cm and its final position (2π, 0)

c) 6.5cm

Step-by-step explanation:

we must find where the function becomes negative, positive and zero

(according to the graph)

the particle moves to the right where the function is positive

0≤p<π/2 and 3π/2<p≤2π , the particle moves to the left where the function is negative π/2 ≤ p ≤3π/2, and stopped p=π/2 and p=3π/2

s(t)=∫v(t)dt also s(t) = 5sin(t)

(according to the graph 2)

The displacement of the particle is 5.5 and its final position

(2π, 0)

The total displacement of the particle is 6.5

3.how is solving radical equations different than solving linear equations?

step-by-step explanation: