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A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]
- a)8 m
- b)6 m
- c)4 m
- d)2 m
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A car moving with a speed of 40 km/h can be stopped by applying brakes...
v2 – u2 = 2as
where u1 = 40 km/hFor same retarding force s ∝ u2
∴ s2 = 4s1 = 8mIf
F is retarding force and s the stopping distance, then 
For same retarding force, s α v2
∴ s2 = 4s1 = 4 x 2= 8m
Most Upvoted Answer
A car moving with a speed of 40 km/h can be stopped by applying brakes...
Given:
Initial speed of car (u) = 40 km/h
Stopping distance at this speed (s) = 2 m
To find:
Stopping distance when speed is 80 km/h
Solution:
Let us first convert the given speeds from km/h to m/s:
Initial speed (u) = 40 km/h = 40 x 1000 m/3600 s = 11.11 m/s
Final speed (v) = 0 m/s (car comes to a stop)
Using the formula for stopping distance:
s = (v^2 - u^2) / 2a
where a is the deceleration or retardation of the car due to braking.
At u = 11.11 m/s and s = 2 m, we can find a:
2 = (0 - 11.11^2) / (2 x a)
a = 154.34 m/s^2
Now, using the same formula at u = 22.22 m/s (80 km/h) and a = 154.34 m/s^2:
s = (0 - 22.22^2) / (2 x 154.34) = 8 m
Therefore, the minimum stopping distance of the car when moving at a speed of 80 km/h is 8 m.
Answer: Option A (8 m)
Initial speed of car (u) = 40 km/h
Stopping distance at this speed (s) = 2 m
To find:
Stopping distance when speed is 80 km/h
Solution:
Let us first convert the given speeds from km/h to m/s:
Initial speed (u) = 40 km/h = 40 x 1000 m/3600 s = 11.11 m/s
Final speed (v) = 0 m/s (car comes to a stop)
Using the formula for stopping distance:
s = (v^2 - u^2) / 2a
where a is the deceleration or retardation of the car due to braking.
At u = 11.11 m/s and s = 2 m, we can find a:
2 = (0 - 11.11^2) / (2 x a)
a = 154.34 m/s^2
Now, using the same formula at u = 22.22 m/s (80 km/h) and a = 154.34 m/s^2:
s = (0 - 22.22^2) / (2 x 154.34) = 8 m
Therefore, the minimum stopping distance of the car when moving at a speed of 80 km/h is 8 m.
Answer: Option A (8 m)
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A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer?
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A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer?.
A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]a)8 mb)6 mc)4 md)2 mCorrect answer is option 'A'. Can you explain this answer?.
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