Corresponding to given v-s graph of a pa...

Corresponding to given v-s graph of a particle moving in a straight line, plot a-s graph.

Text Solution

Verified by Experts

The correct Answer is:

The given v-s graph is a straight line with positive slope (say m) and positive
intercept (say c). Therefore, v-s equation is
`v=ms+c`
`rArr (dv)/(ds)=m`
Now, `a=v.(dv)/(ds)=(ms+c)(m)`
`a=m^2s+mc`
a-s equation is a linear equation. Therefore, a-s graph is also a straight line with positive slope
`(=m^2)` and positive intercept `(=mc)`. a-s graph is as shown below.

Topper's Solved these Questions

KINEMATICS
DC PANDEY|Exercise Example Type 7|1 Videos
KINEMATICS
DC PANDEY|Exercise Miscellaneous Example|12 Videos
KINEMATICS
DC PANDEY|Exercise Example Type 5|1 Videos
GRAVITATION
DC PANDEY|Exercise (C) Chapter Exercises|45 Videos
KINEMATICS 1
DC PANDEY|Exercise INTEGER_TYPE|15 Videos

Displacement time graph of a particle moving in a straight line is a shown in figure.

in region `A` acceleration is positive

in region `B` acceleration is negative

in region `C` acceleration is positive

in region `D` acceleration is negative

The velocity -time (v - t) graph of a particle moving in a straight line is shown in figure. The acceleration of the particle at t = 9 is:

zero

`5 ms^(-2)`

`-5 ms^(2)`

`-2 ms^(-2)`

Acceleration (a) -displacement (s) graph of a particle moving in a straight line is as shown in the figure. The initial velocity of the particle is zero. The v-s graph of the particle would be