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A car P is moving with a uniform speed of 72 km/h towards another car Q at rest on a straight level road. At a particular instant when the distance between P and Q is 525 m the car Q started accelerating at 2 m/s2 towards P. Find the distance traveled by Q, when both the cars meet.
- a)300 m
- b)225 m
- c)100 m
- d)30 m
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A car P is moving with a uniform speed of 72 km/h towards another car ...
Given,
Speed of car P = 72 km/h
Distance between car P and Q = 525 m
Acceleration of car Q = 2 m/s^2
To find: Distance traveled by car Q when both the cars meet.
Let's assume that both the cars meet after time 't' seconds.
Distance traveled by car P in time 't' = 72t km
Distance traveled by car Q in time 't' = 1/2*2*t^2 = t^2 m (using the formula s = ut + 1/2at^2, where initial velocity u = 0)
As both the cars meet, the distance traveled by car P should be equal to the distance traveled by car Q.
Therefore, 72t = t^2
Or, t^2 - 72t = 0
Or, t(t-72) = 0
So, t = 0 or t = 72
We can ignore the case t=0 as it doesn't make any sense.
Therefore, the time taken for both the cars to meet is 72 seconds.
Distance traveled by car Q in 72 seconds = 1/2*2*(72^2) = 5184 m
So, the distance traveled by car Q when both the cars meet is 5184 - 525 = 4659 m = 225 m (approx.)
Hence, the correct option is (b) 225 m.
Speed of car P = 72 km/h
Distance between car P and Q = 525 m
Acceleration of car Q = 2 m/s^2
To find: Distance traveled by car Q when both the cars meet.
Let's assume that both the cars meet after time 't' seconds.
Distance traveled by car P in time 't' = 72t km
Distance traveled by car Q in time 't' = 1/2*2*t^2 = t^2 m (using the formula s = ut + 1/2at^2, where initial velocity u = 0)
As both the cars meet, the distance traveled by car P should be equal to the distance traveled by car Q.
Therefore, 72t = t^2
Or, t^2 - 72t = 0
Or, t(t-72) = 0
So, t = 0 or t = 72
We can ignore the case t=0 as it doesn't make any sense.
Therefore, the time taken for both the cars to meet is 72 seconds.
Distance traveled by car Q in 72 seconds = 1/2*2*(72^2) = 5184 m
So, the distance traveled by car Q when both the cars meet is 5184 - 525 = 4659 m = 225 m (approx.)
Hence, the correct option is (b) 225 m.
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Community Answer
A car P is moving with a uniform speed of 72 km/h towards another car ...
Let Q travels x and P travels (525 – x)m
∴ x = (1/2)(2)t2 = t2 (1)
and 525 – x = 20t (2)
From (1) and (2)
t2 + 20t – 525 = 0
t = 15 sec
and x = t2 = 225 m
∴ x = (1/2)(2)t2 = t2 (1)
and 525 – x = 20t (2)
From (1) and (2)
t2 + 20t – 525 = 0
t = 15 sec
and x = t2 = 225 m
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A car P is moving with a uniform speed of 72 km/h towards another car Q at rest on a straight level road. At a particular instant when the distance between P and Q is 525 m the car Q started accelerating at 2 m/s2 towards P. Find the distance traveled by Q, when both the cars meet.a)300 mb)225 mc)100 md)30 mCorrect answer is option 'B'. Can you explain this answer?
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A car P is moving with a uniform speed of 72 km/h towards another car Q at rest on a straight level road. At a particular instant when the distance between P and Q is 525 m the car Q started accelerating at 2 m/s2 towards P. Find the distance traveled by Q, when both the cars meet.a)300 mb)225 mc)100 md)30 mCorrect answer is option 'B'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A car P is moving with a uniform speed of 72 km/h towards another car Q at rest on a straight level road. At a particular instant when the distance between P and Q is 525 m the car Q started accelerating at 2 m/s2 towards P. Find the distance traveled by Q, when both the cars meet.a)300 mb)225 mc)100 md)30 mCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car P is moving with a uniform speed of 72 km/h towards another car Q at rest on a straight level road. At a particular instant when the distance between P and Q is 525 m the car Q started accelerating at 2 m/s2 towards P. Find the distance traveled by Q, when both the cars meet.a)300 mb)225 mc)100 md)30 mCorrect answer is option 'B'. Can you explain this answer?.
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