Question

PLEASE SOLVE THIS QUESTION​

Answer 1

Need to FinD :-

• The accelⁿ of body from A to B .
• Total Displacement of body from A to C .

$\red{\frak{Given}}\Bigg\{ \sf A \ ( v - t ) \ graph \ is \ given \ to \ us.$

We know that ,

• The slope of v - t graph gives acceleration .
• The area under v - t grah gives displacement .

From A to B :-

• Slope = tanθ .

$\small \sf\longrightarrow Slope = tan\theta \\\\\\\small\sf\longrightarrow Acceleration = \dfrac{ BM}{MO} \\\\\\\small \sf\longrightarrow Acceleration = \dfrac{ 20m/s}{3s} \\\\\\\footnotesize\sf\longrightarrow \underline{\underline{\red{ Acceleration = 6.66 \ m/s^2 }}}$

$\rule{200}3$

From A to C :-

• Displacement is the area under the graph . So that ,

$\small \sf\longrightarrow Area = ar(\triangle BOM ) + ar(\triangle BMC ) \\\\\\\small\sf\longrightarrow s = \dfrac{1}{2} \times AC \times BM \\\\\\\small\sf\longrightarrow s = \dfrac{1}{2} \times 20m/s \times 7 s \\\\\\\footnotesize\sf\longrightarrow \underline{\underline{\red{ Displacement_{(From \ A \ to \ C )} = 70m }}}$