- Home
- Standard 11
- Physics
2.Motion in Straight Line
hard
કણ માટે પ્રવેગ વીરૂધ સમયનો ગ્રાફ આપેલ છે તો તેના માટે વેગ વિરૂધ સમયનો ગ્રાફ કેવો મળે?
A
B
C
D
Solution
(c) From given $a – t$ graph it is clear that acceleration is increasing at constant rate
$\therefore $ $\frac{{da}}{{dt}} = k$ (constant) $⇒$ $a = kt$ (by integration)
$⇒ \frac{{dv}}{{dt}} = kt$ $⇒$ $dv = ktdt$
$⇒ \int_{}^{} {dv} = k\int_{}^{} {tdt} $ $⇒$ $v = \frac{{k{t^2}}}{2}$
i.e. $v$ is dependent on time parabolically and parabola is symmetric about v-axis.
and suddenly acceleration becomes zero. i.e. velocity becomes constant.
Hence $(c)$ is most probable graph.
Standard 11
Physics
