The velocity-time graph of a particle in one-dimensional motion is shown in the figure. Which of the following formulae is correct for describing the motion of the particle over the time interval `t_1" to "t_2?`

Options

A. `x(t_(2))=x(t_(1))+v(t_(1)) (t_(2)-t_(1))+(1/2)a(t_(2)-t_1)^(2)`
B. `v(t_(2))=v(t_(1))+a(t_(2)-t_(1))`
C. `v_("average")=(x(t_(2))+x(t_(1)))/(t_(2)-t_(1))`
D. `a_("average")=(v(t_(2))-v(t_(1)))/(t_(2)-t_(1))`

Answer

D