SATHEE: Motion in a Straight Line

Motion in a Straight Line - Result Question 19

19.

A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point:

[2008]

(a) $B$

(b) $C$

(d) $A$

Show Answer

Answer:

Correct Answer: 19. (b)

Solution:

(b) The slope of the graph $\frac{d s}{d t}$ is maximum at $C$ and hence the instantaneous velocity is maximumat $C$ .

Instantaneous velocity,

${\vec{v}}_{ins} = lim_{Δ t \to 0} \frac{Δ \vec{s}}{Δ t} = \frac{d \vec{s}}{d t}$ The instantaneous velocity of an object at a given instant is first derivative of displacement with respect to time.

The slope of displacement-time graph at any instant of time gives the measure of instantanesous velocity of an object at that instant.

Play Store

App Store

Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on "I understand".

Motion in a Straight Line - Result Question 19

19.

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

Menu