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A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle is
- a)20 s
- b)25 s
- c)30 s
- d)35 s
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A motorcycle and a car start from rest from the same place at the same...
When car overtakes motorcycle, both have travelled the same distance in the same time. Let the total distance travelled be S and the total time taken to overtake be t.
For motorcycle:
Maximum speed attained = 36kmh−1
Since its acceleration = 1.0ms−2, the time t1 taken by it to attain the maximum speed is given by
The distance covered by motorcycle in attaining the maximum speed is
The time during which the motorcycle moves with maximum speed is (t − 10)s.
The distance covered by the motorcycle during this time is
∴ Total distance travelled by motorcycle in time t is
For car:
Maximum speed attained =
Since its acceleration = 0.5ms−2
Maximum speed attained = 36kmh−1
Since its acceleration = 1.0ms−2, the time t1 taken by it to attain the maximum speed is given by
The distance covered by motorcycle in attaining the maximum speed is
The time during which the motorcycle moves with maximum speed is (t − 10)s.
The distance covered by the motorcycle during this time is
∴ Total distance travelled by motorcycle in time t is
For car:
Maximum speed attained =
Since its acceleration = 0.5ms−2
The time taken by it to attain the maximum speed is given by
15 = 0 + 0.5 x t2 or t2 = 30s (∵ u = 0)
The distance covered by the car in attaining the maximum speed is
The time during which the car moves with maximum speed is (t − 30)s.
The distance covered by the car during this time is
∴ Total distance travelled by car in time t is
From equations (i) and (ii), we get
10t − 50 = 151 − 225 or 51 = 175 or 1 = 35s
15 = 0 + 0.5 x t2 or t2 = 30s (∵ u = 0)
The distance covered by the car in attaining the maximum speed is
The time during which the car moves with maximum speed is (t − 30)s.
The distance covered by the car during this time is
∴ Total distance travelled by car in time t is
From equations (i) and (ii), we get
10t − 50 = 151 − 225 or 51 = 175 or 1 = 35s
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A motorcycle and a car start from rest from the same place at the same...
^2 and the car accelerates at 0.5 m/s^2. After 10 seconds, which vehicle will have traveled further?
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A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle isa)20 sb)25 sc)30 sd)35 sCorrect answer is option 'D'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle isa)20 sb)25 sc)30 sd)35 sCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle isa)20 sb)25 sc)30 sd)35 sCorrect answer is option 'D'. Can you explain this answer?.
A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle isa)20 sb)25 sc)30 sd)35 sCorrect answer is option 'D'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle isa)20 sb)25 sc)30 sd)35 sCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A motorcycle and a car start from rest from the same place at the same time and travel in the same direction. The motorcycle accelerates at 1.0ms−1 up to a speed of 36 kmh-1 and the car at 0.5 ms1 up to a speed of 54 kmh-1. The time at which the car would overtake the motorcycle isa)20 sb)25 sc)30 sd)35 sCorrect answer is option 'D'. Can you explain this answer?.
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