A car is travelling at a …
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A car is travelling at a speed of 30 km/h is brought to rest in a distance of 8 m by applying brakes. If the same car is moving at a speed of 60 km/h then it can be brought to rest with the same brakes in what distance?
Posted by Manash Pratim Misra 8 years, 4 months ago
- 2 answers
Sahdev Sharma 8 years, 4 months ago
First case:
Initial velocity u = 30 km/h {tex}= {25\over 3}\ m/s{/tex}
As it stops so Final velocity v = 0
time taken t = 8 m
Acceleration of car = a
We know,
{tex}a = {v-u\over t}{/tex}
={tex}-{25\over 24}\ m/s^2{/tex}
Second case :
As same breaks applied so acceleration is same.
initial velocity u = 60 km/h {tex}={50\over 3}\ m/s{/tex}
As it comes to rest so final velocity v = 0 m/s
Distances covered before rest = s
We know,
{tex}v^2-u^2= 2as{/tex}
=> {tex}(0)^2-({50\over 3})^2= 2\times {-25\over 24}\times s{/tex}
{tex}=> s =-{2500\over 9}\times {-24\over 25}\times {1\over 2}{/tex}
= 33.3 m
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Arpan Bhowmick 8 years, 4 months ago
33.3 m
0Thank You