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) $C$
(c) $D$
(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} _{\text{ins }}=\lim _{\Delta t \to 0} \frac{\Delta \vec{s}}{\Delta 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.
