Figure shows the x-t plot of a particle in one dimensional motion. Two different equal intervals of time are shown. Let v1 and v2 be average speed in time intervals 1 and 2 respectively. Then

Question

Figure shows the x-t plot of a particle in one dimensional motion. Two different equal intervals of time are shown. Let v1 and v2 be average speed in time intervals 1 and 2 respectively. Then (A) v1 > v2 (B) v2 > v1 (C) v1 = v2 (D) data is insufficient

Tardigrade Admin · Accepted Answer

The average speed in a small interval of time is equal to the slope of x-t graph during that interval. As slope of interval 1 > slope of interval 2 ∴ v1 > v2

Q. Figure shows the $x$ - $t$ plot of a particle in one dimensional motion. Two different equal intervals of time are shown. Let $v_{1}$ and $v_{2}$ be average speed in time intervals $1$ and 2 respectively. Then

$v_{1} > v_{2}$

$v_{2} > v_{1}$

$v_{1} = v_{2}$

data is insufficient

The average speed in a small interval of time is equal to the slope of $x$ - $t$ graph during that interval. As slope of interval $1 >$ slope of interval $2$
$∴ v_{1} > v_{2}$

Q. Figure shows the x-t plot of a particle in one dimensional motion. Two different equal intervals of time are shown. Let v1​ and v2​ be average speed in time intervals 1 and 2 respectively. Then

v1​>v2​

v2​>v1​

v1​=v2​