What does the tangent at a point to the displacement-time graph represent?

What does the tangent at a point to the velocity-time graph represent?

What does the slope of position-time graph represents?

What does slope of (v-t) graph represent?

What is the nature of displacement-time graph of a particle moving with constant acceleration ?

What will be the shape of displacement-time graph when acceeration or retarddation is uniform?

For the wave described in the above question, plot the displacement (y) versus time (t) graphs for x=0.2 and 4 cm. What are the shapes of these graph? In which aspects does the oscillatory motion in a travelling wave differ from one point to another: amplitude,frequency or phase?