The table shows the velocity of a remote controlled race car moving along a dirt path for 8 seconds

Question

Estimate the value of the quantity.

The table shows the velocity of a remote controlled race car moving along a dirt path for 8 seconds. Estimate the distance traveled by the car using 8 subintervals of length 1 with right-end point values.

Time Velocity (in/sec)

0 0

1 8

2 19

3 26

4 25

5 23

6 26

7 21

8 4

MULTIPLE CHOICE

152 in.

158 in.

148 in.

142 in.

Answer 1

Using right-end point values, we make rectangles using the height of the right side of the rectangle.

For example, from time = 0 to time = 1, we have velocities of 0 and 8. The right-side value is 8, so we have a rectangle of area 1 * 8. Do this for all the intervals, and you should have rectangles of areas

8, 19, 26, 25, 23, 26, 21, and 4

Add these up to find the overall area estimate:

8 + 19 + 26 + 25 + 23 + 26 + 21 + 4 = 152