Which of the following is the bicyclists instaneous speed in

Which of the following is the bicyclists instaneous speed, in mph, at t = 3 hrs 32 mph -18 mph 7 mph -32 mph The accompanying graph shows the total distance S traveled by a bicyclist after t hours. Using the graph, answer parts (a) through (c).

Solution

According to Graph

Graph -> Displacement Vs time

If we want to know Instantaneous Speed at any time t

Instantaneous Speed = dx/dt at time t =t0

estimate slope at t =3 (slope is positive)

m= 18/6= 6m/h

This is not a exact slope at t =3 hr

So Best Answer is C = 7m/hr

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