Find the particles displacement for the given time interval.
Given v(t)=4cos(t), 0 is less than or equal to t which is less than or equal to 2 pi.
Given v(t)=4cos(t), 0 is less than or equal to t which is less than or equal to 2 pi.
To find a particles displacement, you take the integral of the given equation. Doing this by hand and then by using NINT is a good way to make sure you have the correct answer. Your anti-derivative for this equation should be -4sin(t)+c and you should type (4cos(x),x,0.2 pi) into NINT.
Let's do another one!
Find the particles displacement for the given time interval.
Given v(t)=.25t^3-t, 0 is less than or equal to t which is less than or equal to 3.
Find the particles displacement for the given time interval.
Given v(t)=.25t^3-t, 0 is less than or equal to t which is less than or equal to 3.
For this problem, you would take the same steps as above.