Question

2. Velocity time graph of a body is shown in the figure. Find its acceleration in m/s2.

Answer 1

${\huge{\boxed{\sf{\green{❥✰Question✰}}}}}$

Given :-

Initial velocity (u) = 20 m/s

Final velocity (v) = 80 m/s

Time (t) = 4 hrs

To Find :-

What is the acceleration in m/s².

Formula Used :-

Constant Acceleration Formula :

$\begin{gathered}\longmapsto \sf\boxed{\bold{\pink{a =\: \dfrac{(v - u)}{t}}}}\\\end{gathered} ⟼ a= t(v−u)$

where,

a = Acceleration

v = Final Velocity

u = Initial Velocity

t = Time

Solution :-

First, we have to convert the time into seconds :

$\implies \sf Time =\: 4\: hrs⟹Time=4hrs$

$\begin{gathered}\implies \sf Time =\: 4 \times 3600\: seconds\: \bigg\lgroup \bold{\purple{1\: hours =\: 3600\: seconds}}\bigg \rgroup\\ \end{gathered} ⟹Time=4×3600seconds$

$\implies \sf\bold{\red{Time =\: 14400\: seconds}}⟹Time=14400seconds$

Given :

Final velocity = 80 m/s

Initial velocity = 20 m/s

Time = 14400 seconds

According to the question by using the formula we get,

$\dashrightarrow \sf a =\: \dfrac{(80 - 20)}{14400}⇢a= 14400(80−20)$

$\dashrightarrow \sf a =\: \dfrac{6\cancel{0}}{1440\cancel{0}}⇢a= 1440 0​ 6 0$

$\dashrightarrow \sf a =\: \dfrac{\cancel{6}}{\cancel{1440}}⇢a= 1440 6$

$\dashrightarrow \sf a =\: \dfrac{\cancel{3}}{\cancel{720}}⇢a= 720 3$

$\dashrightarrow \sf\bold{\red{a =\: 0.0042\: m/s^2}}⇢a=0.0042m/s 2$

$\therefore∴$Therefore;The acceleration is 0.0042 m/s²