NEET Exam  >  NEET Questions  >  The engine of a motorcycle can produce a maxi... Start Learning for Free
The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km?
Most Upvoted Answer
The engine of a motorcycle can produce a maximum acceleration of 5 m/s...
**Problem Analysis:**
To find the minimum time in which the motorcycle can cover a distance of 1.5 km, we need to consider the acceleration and retardation limits of the motorcycle's engine and brakes respectively. The motorcycle will accelerate until it reaches its maximum speed, and then it will decelerate using its brakes to come to a stop at the desired distance. We can break down the problem into two parts:

1. The time taken to accelerate to the maximum speed.
2. The time taken to decelerate from the maximum speed to a stop.

**Solution:**

**Part 1: Acceleration**
The motorcycle's engine can produce a maximum acceleration of 5 m/s^2. We need to find the time taken to reach the maximum speed.

Distance covered during acceleration, S = 1.5 km = 1500 m
Acceleration, a = 5 m/s^2

Using the formula: S = ut + (1/2)at^2
Where:
- S is the distance covered
- u is the initial velocity (0 in this case)
- a is the acceleration
- t is the time taken

1500 = 0 + (1/2) * 5 * t^2
3000 = 5t^2
t^2 = 600
t = √600
t ≈ 24.49 s

**Part 2: Deceleration**
The motorcycle's brakes can produce a maximum retardation of 10 m/s^2. We need to find the time taken to decelerate from the maximum speed to a stop.

Using the same formula as above, but with a negative acceleration (retardation) value:
1500 = 0 + (1/2) * (-10) * t^2
3000 = -5t^2
t^2 = -600
Since time cannot be negative, we can ignore this solution.

Therefore, the minimum time taken to cover a distance of 1.5 km is the sum of the acceleration and deceleration times:
Total time = 24.49 s + 24.49 s
Total time ≈ 48.98 s

**Conclusion:**
The minimum time in which the motorcycle can cover a distance of 1.5 km is approximately 48.98 seconds. This time includes the acceleration phase, where the motorcycle reaches its maximum speed, and the deceleration phase, where it comes to a stop using its brakes.
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
Explore Courses for NEET exam

Top Courses for NEET

The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km?
Question Description
The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km?.
Solutions for The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? in English & in Hindi are available as part of our courses for NEET. Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? defined & explained in the simplest way possible. Besides giving the explanation of The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km?, a detailed solution for The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? has been provided alongside types of The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? theory, EduRev gives you an ample number of questions to practice The engine of a motorcycle can produce a maximum acceleration of 5 m/s 2 . Its brakes can produce a maximum retardation of 10 m/s 2 . What is the minimum time in which it can cover a distance of 1.5 km? tests, examples and also practice NEET tests.
Explore Courses for NEET exam

Top Courses for NEET

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev