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A car moving at a speed of 108km/h. the driver of the car suddenly finds a puppy sitting in the middle of the road at a distance of 100m and he applies brakes to produce a retardation of 5m/s^2 to save the puppy. The reaction time of the driver is 0.2s. will he able to save the puppy? Explain?
Most Upvoted Answer
A car moving at a speed of 108km/h. the driver of the car suddenly fin...
Yes he will save the puppy here is the solution
t=0.2s
u=108km/h=30m/s
a=5m/s^2
h=??

therefore from second equation of motion
s=ut+1/2at^2
s=30x0.2-1/2x5x(0.2)^2
s=6-0.2
s=5.8m

therefore drive save the puppy because puppy is sit at 100m and car is stop at 5.8m



hope you like it
Community Answer
A car moving at a speed of 108km/h. the driver of the car suddenly fin...
Analysis of the situation


The situation can be analyzed using the following parameters:


  • Initial velocity of the car = 108 km/h

  • Distance of the puppy from the car = 100 m

  • Retardation produced by the brakes = 5 m/s^2

  • Reaction time of the driver = 0.2 s



Calculation of stopping distance


The stopping distance of the car can be calculated as follows:

Initial velocity of the car, v = 108 km/h = 30 m/s
Acceleration produced by the brakes, a = -5 m/s^2 (negative because it is a retardation)
Reaction time of the driver, t = 0.2 s
Distance covered during the reaction time, s1 = vt = 30 x 0.2 = 6 m
Final velocity of the car, v1 = 0 m/s (because the car has to stop)
Using the equation, v^2 - v1^2 = 2as, we get:
s = (v^2 - v1^2)/2a + s1 = (30^2 - 0)/2(-5) + 6 = 36 m

Conclusion


The stopping distance of the car is calculated to be 36 m. As this distance is greater than the distance of the puppy from the car (100 m), the driver will not be able to save the puppy even if he applies the brakes as soon as he sees the puppy. Therefore, the driver will not be able to save the puppy. It is important to note that the driver's reaction time plays a crucial role in such situations and it is always better to drive at a safe speed to avoid such accidents.
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A car moving at a speed of 108km/h. the driver of the car suddenly finds a puppy sitting in the middle of the road at a distance of 100m and he applies brakes to produce a retardation of 5m/s^2 to save the puppy. The reaction time of the driver is 0.2s. will he able to save the puppy? Explain?
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A car moving at a speed of 108km/h. the driver of the car suddenly finds a puppy sitting in the middle of the road at a distance of 100m and he applies brakes to produce a retardation of 5m/s^2 to save the puppy. The reaction time of the driver is 0.2s. will he able to save the puppy? Explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A car moving at a speed of 108km/h. the driver of the car suddenly finds a puppy sitting in the middle of the road at a distance of 100m and he applies brakes to produce a retardation of 5m/s^2 to save the puppy. The reaction time of the driver is 0.2s. will he able to save the puppy? Explain? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moving at a speed of 108km/h. the driver of the car suddenly finds a puppy sitting in the middle of the road at a distance of 100m and he applies brakes to produce a retardation of 5m/s^2 to save the puppy. The reaction time of the driver is 0.2s. will he able to save the puppy? Explain?.
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