Question

Consider the formula for the average velocity, v, of a moving particle. In the formula, d1 and d2 represent the distance traveled by the particle at times t1 and t2 respectively.

v = d2 - d1/t2 - t1

Which of the following equations is equivalent to the formula for velocity?
a. d1=v (t2-t1)-d2
b. t1=v(d2-d1)-t2
c. t2=v(d2-d1)+t1
d. d2=v(t2-t1)+d1

givin 40 points !!! pls help asap also markin da brainiest answer !!!

Answer 1

Answer:

$d.\ \boxed{\boxed{\ d_2=(t_2-t_1)v+d_1}}$

Step-by-step explanation:

The average velocity 'v' of a moving particle is given by,

$v=\dfrac{d_2-d_1}{t_2-t_1}$

where,

d₁ and d₂ represent the distance traveled by the particle at times t₁ and t₂ respectively.

So,

$\Rightarrow v=\dfrac{d_2-d_1}{t_2-t_1}$

Cross multiplying the sides,

$\Rightarrow d_2-d_1=(t_2-t_1)v$

$\Rightarrow d_2=(t_2-t_1)v+d_1$

As option D matches with this, so that is the correct option.