Question

Can you guys walk me through all the steps to solve this word problem?

A race car driver is driving laps around a track. Every 2 hours the speed of the car is being noted in mph. The speed of the car at each of these 2 hour intervals is given in the table below. Use the table below to estimate the total distance traveled over the 20 hours of driving. t=0 t=2 t=4 t=6 t=8 t=10 t=12 t=14 t=16 t=18 t=20 0 50 70 90 100 130 100 50 20 110 90

Answer 1

The speed of car at each a hour intervals is given in the table. To estimate the total distance traveled over the 20 houm of driving. Speed & in miles/hour, tin hours o 2 4 6 8 10 12 18 20 < it 50 70 90 100 110 130 loo so 20 = .. .. Distance can be estimated by Trapezoidal Rule, midpoint Rule and Simpson's Rule to much accurate. at=2 hour (i) By Trapezoidal Rule at [ Veos +2{ Vea) + VC4) + +V(183}+V20] 3 [0+2(50+70+90+100+110 +130 +100+90+50) +20] [21790) +20) 1600 miles. Gi) By midpoint Rule : (At=4) st[ Ve2) +VL6) + Vuo) tv (14) +Vie] 4 [sot go go + 110 + 100 +507 4(400) = 1600 miles (ti) By Simpronto Rule : (6t=2): [Vco) +4{ vca) +Vco) +Vco) +Venu) +Vc18} +2 { vcu) + V (8) + VC12) + VC163} + V (20)] ${0+4(S0+90+110 +100 +50) +2(70+100+130799) +20] 3/[ 4(400) +2(390) +20 ( 1600+780 +20) / x 2400 1600 mils. Honce distance estimated by Trapezoidal rule, midpoint rule and simpson's rule is 1600 miles. Therefone Total distance traveled over the zohoorn of driving is estimated T600 miles.