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...

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 left-end point value.

time(sec)           0  1  2   3   4  5   6   7  8

Velosity(in./sec) 0 10 21 17 27 30 32 12 5

Asked on by dylachan

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beckden's profile pic

beckden | High School Teacher | (Level 1) Educator

Posted on

The distance traveled is the `sum_(t=1)^(8) (v(t)(Deltat))`

In this case `Deltat = 1` second.

distance `= 10*1+21*1+17*1+27*1+30*1+32*1+12*1+5*1=154` inches

So the approximate distance is 154 inches.

adakabre's profile pic

adakabre | Student, Undergraduate | eNotes Newbie

Posted on

velocity=distant/time

d1=1*10=10

d2=2*21=42

d3=3*17=51

d4=4*27=108

d5=5*30=150

d6=6*32=192

d7=7*12=84

d8=8*5=40

therefore total distance travelledby the is 677m

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