a car is traveling with a speed of 90kmph. brakes are applied so as to produce a uniform acceleration of -0.5m/s2. find how far will the car go before it is bought to rest
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Answers
In the above Question , the following information is given -
Acar is traveling with a speed of 90kmph.
Brakes are applied so as to produce a uniform acceleration of -0.5 m/s² .
To find - The distance travelled by the car before it comes to rest.
Solution -
Here , the innitial speed of the car is 90 kmph .
Converting this speed to SI Units -
90 kmph
=> 90 × ( 5 / 18 ) m / s
=> 25 m / s .
So,
Innitial speed of the car , u = 25 m / s .
The car finally stops .
Hence , final speed of the car, v = 0 m / s
Acceleration = -0.5 m/s²
Now ,
According to third Equation of motion -
v² = u² + 2as
=> 0 = 625 - s
=> S = 625 metres ..... Answer
We know that ,
u ( Initial velocity ) = 90 kmph = 25m/ s
t ( time ) = ?
a ( acceleration ) = -0.5m/s2
s ( distance ) = ?
v ( Final velocity ) = 0 m/ s
We know that v = u + at
0 = 25 - 0.5 t
-25 = -0.5 t
t = -25 / -0.5 = 50 s
Also , 2as = v2 - u2
2 × (-0.5) × s = 0^2 - 25^2
-1 × s = - 625
s = 625 m
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