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A car start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec?
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A car start from the rest and accelerate at a uniform rate of 5 m/sec ...
Given Information:
- Initial velocity (u) = 0 m/sec
- Acceleration (a) = 5 m/sec2
- Total time (t) = 25 sec
- Average speed (v) = 20 m/sec
Finding:
Time for which the car moves with constant speed.
Solution:
Let's assume that the car moves with constant speed (vc) for time (tc) after accelerating and before decelerating.
Step 1: Finding the distance covered during the accelerated motion
Using the equation of motion:
s = ut + 1/2at2
Where,
- s = Distance covered
- u = Initial velocity = 0 m/sec
- a = Acceleration = 5 m/sec2
- t = Total time taken for the journey = 25 sec
Substituting the values, we get:
s1 = 0 + 1/2 * 5 * (25/2)2 = 1562.5 m
Step 2: Finding the distance covered during the decelerated motion
Using the same equation of motion:
s = vt - 1/2at2
Where,
- s = Distance covered
- v = Final velocity = 0 m/sec
- a = Retardation = -5 m/sec2
- t = Total time taken for the journey = 25 sec
Substituting the values, we get:
s2 = 20 * 25 - 1/2 * (-5) * (25/2)2 = 1562.5 m
Step 3: Finding the distance covered during the motion with constant speed
Using the equation:
vc = s3/tc
Where,
- vc = Constant speed of the car
- s3 = Distance covered during the motion with constant speed
- tc = Time for which the car moves with constant speed
Substituting the values, we get:
s3/tc = 1562.5 m
Step 4: Finding the time for which the car moves with
Community Answer
A car start from the rest and accelerate at a uniform rate of 5 m/sec ...
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A car start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec?
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A car start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec? 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 start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec?.
A car start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec? 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 start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car start from the rest and accelerate at a uniform rate of 5 m/sec Square for some time, then moves with constant speed for some time and retard at the same uniform rate and comes to rest. Total time for the journey is 25 sec and average speed for the journey is 20m/sec. How long does the car moves with constant speed ? Answer =15sec?.
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