Velocity time graph of a body is shown in the figure. Find its acceleration in m/s2.
I mislabeled it last time whoops..
Answers
Answer:
Your answer is here:-
Step-by-step explanation:
acceleration= final velocity - starting velocity/time
= (20 - 80)/ 4
= 60/4
= 15m²
Hope it helps you.
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 :-
\clubsuit♣ 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
⎩
⎪
⎪
⎪
⎧
1hours=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∴ The acceleration is 0.0042 m/s².