Preview Activity 4 1 1 Suppose that a person is taking a walk along a ong straight path and walks at a constant rate of 3 miles per hour a On the left hand axes provided in Figure 4 1 1 sketch a labeled graph of the velocity function v t 3 8 4 mph 1 2 hrs 8 41 miles 1 2 hrs Figure 4 1 1 At left axes for plotting y v t at right for plotting y s t Note that while the scale on the two sets of axes is the same the units on the right hand axes differ from those on the left The right hand axes will be used in question d b How far did the person travel during the two hours How is this distance related to the area of a certain region under the graph of y v t c Find an algebraic formula s t for the position of the person at time t assuming that s 0 0 Explain your thinking d On the right hand axes provided in Figure 4 1 1 sketch a labeled graph of the position function y s t e For what values of this the position functions increasing Explain why this is the case using relevant information about the velocity function V