Question

6. "We left Andover at 5 o'clock, headed for Concord, a distance of sixty miles. Due to an accident on the interstate highway, traffic was creeping along for the first hour and a half By 6:30 we were only twenty miles from Andover. After that we were able to speed up gradually and finally reached Concord at 7:30." Draw a possible graph to represent the distance (in miles from Andover) as a function of time (in hours since 5 o'clock) as described in the above quote. Explain the important features of your graph, including comments on i concavity.

Answer 1

For the first 1 and half hour (5:00 to 6:30) Speed is constant (as traffic were creeping di = Vit, where di = romile t = 1 h hour = 3 hour Via Em to mile I hour Hence for time to carve will be straight with stope of v= 40 miles/hour For Next 1 hour (6.30 to 7:30) Traffic were speed up which mean, acceleration is present da = vit + tath da = 40 (Remaining destane) t2 = 1 hour , a=? V = 40. putting values 40 = 40x] +49x12 7 9 = 169 mile/hr2 Henor, following graph will be obtained distance 40 Tin miles i dz = Vitzt hat - Concave up. 40 = got + 160 t 2 20 40 milelhouw/ & slope. → tlhour) 6:30 723 5.ro

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