Question

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].
t: 3 7 10 12 13
v(t): 5 9 14 18 24

Answer 1

Step-by-step explanation:

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.