Question:-) A Scooter is traveling at a speed of 36km/hr
after one second, it's velocity becomes 45km/hr. calculate the acceleration experienced by the scooter and the distance covered by it in one second?
don't post irrelevant answer ...
Answers
Answer:
Given:
Initial velocity of scooter,u= 36 km/h
Final velocity of scooter,v= 45 km/h
Time taken by scooter
To Find:
The acceleration experienced by the scooter
Solution:
We know that,
According to first equation of motion for constant acceleration,
\purple{\boxed{\bf{v=u+at}}}
v=u+at
where,
v is final velocity
u is initial velocity
a is acceleration
t is time taken
━━━━━━━━━━━━━━━━━━━━
It is given that,
\longrightarrow\sf{u=36\ km/h=36\times\dfrac{5}{18}\ m/s=10\ m/s}⟶u=36 km/h=36×
18
5
m/s=10 m/s
\longrightarrow\sf{v=45\ km/h=45\times\dfrac{5}{18}\ m/s=\dfrac{25}{2} \ m/s}⟶v=45 km/h=45×
18
5
m/s=
2
25
m/s
━━━━━━━━━━━━━━━━━━━━
Let the acceleration of scooter be 'a'
So, on applying first equation of motion on scooter, we get
\longrightarrow\sf{v=u+at}⟶v=u+at
\longrightarrow\sf{\dfrac{25}{2} =10+a(1)}⟶
2
25
=10+a(1)
\longrightarrow\sf{\dfrac{25}{2}-10=a}⟶
2
25
−10=a
\longrightarrow\sf{\dfrac{25-20}{2}=a}⟶
2
25−20
=a
\longrightarrow\sf{\dfrac{5}{2}=a}⟶
2
5
=a
\longrightarrow\sf{a=\dfrac{5}{2}}⟶a=
2
5
\longrightarrow\sf\green{a=2.5\ m/s^{2}}⟶a=2.5 m/s
2
Hence, the acceleration experienced by the scooter is 2.5 m/s².
Explanation:
The answer is 2.5m/s square