Answer:
[tex]d.\ \boxed{\boxed{\ d_2=(t_2-t_1)v+d_1}}[/tex]
Step-by-step explanation:
The average velocity 'v' of a moving particle is given by,
[tex]v=\dfrac{d_2-d_1}{t_2-t_1}[/tex]
where,
d₁ and d₂ represent the distance traveled by the particle at times t₁ and t₂ respectively.
So,
[tex]\Rightarrow v=\dfrac{d_2-d_1}{t_2-t_1}[/tex]
Cross multiplying the sides,
[tex]\Rightarrow d_2-d_1=(t_2-t_1)v[/tex]
[tex]\Rightarrow d_2=(t_2-t_1)v+d_1[/tex]
As option D matches with this, so that is the correct option.
