Find the total distance traveled by the particle.
Given v(t)=4cos(t), 0 is less than or equal to t which is less than or equal to 2 pi.
To find the total distance traveled by the particle, you solve the integral of the given equation, but with a twist. You have to have the absolute value of that equation. Think about when you find if a particle is moving left or right. The positive part of the graph is the particle moving right, moving in a positive direction. The best way to solve the integral, use NINT. You should type (abs(4cosx),x,0,2 pi). Remember to close the parenthesis of the absolute value or you will get an error message. With these steps, you are sure to get the right answer.
Given v(t)=4cos(t), 0 is less than or equal to t which is less than or equal to 2 pi.
To find the total distance traveled by the particle, you solve the integral of the given equation, but with a twist. You have to have the absolute value of that equation. Think about when you find if a particle is moving left or right. The positive part of the graph is the particle moving right, moving in a positive direction. The best way to solve the integral, use NINT. You should type (abs(4cosx),x,0,2 pi). Remember to close the parenthesis of the absolute value or you will get an error message. With these steps, you are sure to get the right answer.
Let's do another!
Given v(t)=.25t^3-t, 0 is less than or equal to t which is less than or equal to 3.
Follow the same steps as above.
Follow the same steps as above.