| ⇦ | 
| ⇨ |
The position x of a particle with respect to time t along x-axis is given by x = 9t² – t³ where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction?
Options
(a) 54 m
(b) 81 m
(c) 24 m
(d) 32 m
Correct Answer:
54 m
Explanation:
Speed v = dx/ dt = d/ dt (9t² – t³) = 18t – 3t² For maximum speed
dv/ dt = 0 ⇒ 18 – 6t = 0 ⇒ t= 3
⇒Xmax = 81 – 27 = 54
Related Questions: - A car moving with a speed of 50 kmh⁻¹ can be stopped by brakes after at least 6 m
- The electrons are emitted in the photoelectric effect from a metal surface
- At 10⁰C the value of the density of a fixed mass of an ideal gas divided by its pressure
- Maximum velocity of the photoelectrons emitted by a metal surface is 1.2×10⁶ ms⁻¹.
- A particle has initial velocity(3i⃗ +4j⃗)and has acceleration (0.4i⃗ +0.3j⃗)
Topics: Motion in Straight Line
(93)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- A car moving with a speed of 50 kmh⁻¹ can be stopped by brakes after at least 6 m
- The electrons are emitted in the photoelectric effect from a metal surface
- At 10⁰C the value of the density of a fixed mass of an ideal gas divided by its pressure
- Maximum velocity of the photoelectrons emitted by a metal surface is 1.2×10⁶ ms⁻¹.
- A particle has initial velocity(3i⃗ +4j⃗)and has acceleration (0.4i⃗ +0.3j⃗)
Topics: Motion in Straight Line (93)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
18000+ students are using NEETLab to improve their score. What about you?
Solve Previous Year MCQs, Mock Tests, Topicwise Practice Tests, Identify Weak Topics, Formula Flash cards and much more is available in NEETLab Android App to improve your NEET score.
Share this page with your friends
Leave a Reply