velocity of a car started from rest reaches 24 m/s in 4s.what are the initial velocity and the final velocity of the car? Calculate its acceleration?
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Given :
Velocity of a car started from rest reaches 24 m/s in 4 seconds .
To Find :
Acceleration of the car .
Solution :
\longmapsto\tt{Initial\:Velocity=0\:m/s}⟼InitialVelocity=0m/s
\longmapsto\tt{Final\:Velocity=24\:m/s}⟼FinalVelocity=24m/s
\longmapsto\tt{Time\:Taken=4\:seconds}⟼TimeTaken=4seconds
Using 1st Equation :
\longmapsto\tt\boxed{v=u+at}⟼
v=u+at
Putting Values :
\longmapsto\tt{24=0+a(4)}⟼24=0+a(4)
\longmapsto\tt{24=0+4a}⟼24=0+4a
\longmapsto\tt{24=4a}⟼24=4a
\longmapsto\tt{a=\cancel\dfrac{24}{4}}⟼a=
4
24
\longmapsto\tt\bf{a=6\:{m/s}^{2}}⟼a=6m/s
2
So , The Acceleration of the car is 6 m/s² .
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Three Equations Of Motion :
v = u + at
s = ut + 1/2 at²
v² - u² = 2as
Here :
v = Final Velocity
u = Initial Velocity
t = Time Taken
a = Acceleration
s = Distance Travelled
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