A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a right hand sum with 4 intervals to approximate the total distance the particle travelled in the time interval [3, 13]

Question

a) 93.000
b) 138.000
c) 81.750
d) 149.250

Answer 1

[3,13] has a span of 10
with 4 rectangles, each has width 2.5
So the distance is 2.5(f(5.5)+f(8)+f(10.5)+f(13))
You don't give the table, so if the given data points are unevenly spaced, that will have to be changed some.