A particle is dropped from a vertical height h and falls freely for a time…

A particle is dropped from a vertical height h and falls freely for a time t.  With the aid of a sketch, explain how h varies with

            (a)        t;
            (b)        t(^2).

Explanation

a)  Diagram

– Correct shape in relation to h and t

– h varies parabolically with t                       

 – correct shape in relation to h and t(^{2 })
 – h varies linearly with t(^2)