Question

a biker is slowing down according to the following table of velocities

time: 0 1 2 3 4
velocity:25 20 16 12 10

use the trapezoidal rule to approximate the distance traveled in feet, during these 4 seconds

velocity is in feet/sec

a)64.1
b)65.5
c)66.5
d)67.4
e)83.0

Answer 1

im guessing its e

Answer 2

The average speed between t=0 sec and t=1 sec is approximately (25+20)/2 ft/sec, using the trapezoid approximation. Therefore the distance traveled during this time is (25+20)/2 ft. Using the same approximations for the other time intervals, we estimate the distance traveled (in feet) as

(25+20)/2 + (20+16)/2 + (16+12)/2 + (12+10)/2 = 25/2 + 20 + 16 + 12 + 10/2 = 65.5.

Answer 3

i was right, its e, u added it wrong, but you gave me the right concept.

Answer 4

nvm, u were right :/