Mechanical Engineering Exam  >  Mechanical Engineering Questions  >  A car moves in a straight line such that for ... Start Learning for Free
A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where 't’ is in seconds, Determine its position when t = 3 sec.
  • a)
    36 m
  • b)
    18 m
  • c)
    9 m
  • d)
    54
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A car moves in a straight line such that for a short time its velocity...
Is the time in seconds.

To find the acceleration of the car, we need to take the derivative of the velocity function with respect to time.

The derivative of V = (3t^2 - 2t) m/s with respect to t is:

dV/dt = (d/dt)(3t^2 - 2t) m/s
= (6t - 2) m/s

Therefore, the acceleration of the car is given by a = (6t - 2) m/s^2.
Free Test
Community Answer
A car moves in a straight line such that for a short time its velocity...

Calculation:
Given:
Velocity, V = (3t2 + 2t) m/s, Position = ?, at t = 3 sec

So,
Position(x) = t3 + t2
putting t = 3 sec.,
(x)t=3 = 36 m
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer?
Question Description
A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer?.
Solutions for A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A car moves in a straight line such that for a short time its velocity is defined by V = (3t2 + 2t) m/s, where t’ is in seconds, Determine its position when t = 3 sec.a)36 mb)18 mc)9 md)54Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
Explore Courses for Mechanical Engineering exam

Top Courses for Mechanical Engineering

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