Most are correct although I believe that #4 hastwocorrect answers (initially, t= 0 and we are told she was 6 m from the sensor). 5 is correct assuming that "sin(x)" has x indegreeswhich is not standard when sine and cosine are used simply "as functions" rather than with angles. For 6, no, it is not "staying still". That is a graph of speed at time t, not position. A horizontal line means moving at that constant speed. And, as long as speed is constant, distance moved is just "speed times time", much like the area of a rectangle is "height time base"- which is why the distance moved is given by the area under the speed graph.