The velocity-time graph of a particle in one-dimensional motion is shown in Fig.

Which of the following formulae are correct for describing the motion of the particle over the time-interval `t_(1)` to `t_(2)` :
(a) `x(t_(2))=x(t_(1))+upsilon(t_(1))(t_(2)-t_(1))+(1//2)a(t_(2)-t_(1))^(2)`
(b) `upsilon(t_(2))=upsilon(t_(1))+a(t_(2)-t_(1))`
(c ) `upsilon_("average")=(x(t_(2))-x(t_(1)))//(t_(2)-t_(1))`
(d) `a_("average")=(upsilon(t_(2))-upsilon(t_(1)))//(t_(2)-t_(1))`
(e ) `x(t_(2))=x(t_(1))+upsilon_("average")(t_(2)-t_(1))+(1//2)a_("average")(t_(2)-t_(1))^(2)`
(f) `x(t_(2))-x(t_(1))=` area under the `upsilon-t` curve bounded by the t-axis and the dotted line shown.

Explanation

(c ), (d), (f)