Solving Rectilinear Problems Graphically

 

Solving a rectilinear problem graphically is based on the fact that an integral is an area under a curve.

 

• Displacement = the area under the v-t curve.
• Change in velocity = the area under the a-t curve.

 

v = ds/dt    ⇒    Δs = ∫v dt

 

a = dv/dt    ⇒    Δv = ∫a dt