1. Two objects are moving back and forth along the -axis. The velocity of object 1 v_{x}(t) = 2sin t where t is the time in seconds since the clock started, and v_{1}(t) is the velocity in cm / s . The velocity of object 2 is constant v_{2}(t) = 1cm / s Find the exact area of the shaded region shown in the graph and interpret the results .

1. Two objects are moving back and forth along the x-axis. The velocity of object 1 is v1 (t) = 2 sint where t is the time in seconds since the clock started, and vi(t) is the velocity in cm/s. The velocity of object 2 is a constant v2 (t) = 1 cm/s. Find the exact area of the shaded region shown in the graph and interpret the results. 2.5 105 0.5 15 25 3.5 4.5 -0-5 15 -2 5