The velocity-time graph of a body is shown in figure. The slope of the line is ' m '. The distance travels by body in time T s :-

Question

The velocity-time graph of a body is shown in figure. The slope of the line is ' m '. The distance travels by body in time T s :- (A) (m v02/2 T) (B) ( v 02/2 T ) (C) 2 mv 02 (D) ( v 02/2 m )

Tardigrade Admin · Accepted Answer

The distance, s=(v0 T/2) Also, m =( v 0/ T ), ∴ T =( v 0/ m ). Now s =( v 02/2 m )

Q. The velocity-time graph of a body is shown in figure. The slope of the line is ' $m$ '. The distance travels by body in time T s :-

$\frac{m v _{0}^{2}}{2 T}$

$\frac{v _{0}^{2}}{2 T}$

$2 m v_{0}^{2}$

$\frac{v _{0}^{2}}{2 m}$

The distance, $s = \frac{v _{0} T}{2}$
Also, $m = \frac{v _{0}}{T},$
$∴ T = \frac{v _{0}}{m}$ .
Now $s = \frac{v _{0}^{2}}{2 m}$

Q. The velocity-time graph of a body is shown in figure. The slope of the line is ' m '. The distance travels by body in time T s :-

2Tmv02​​

2Tv02​​

2mv02​

2mv02​​