Relation between velocity and displacement is $v = x^2$. Find acceleration at $x = 3m$ :- ............. $\mathrm{m/s}^{2}$
Relation between velocity and displacement is $v = x^2$. Find acceleration at $x = 3m$ :- ............. $\mathrm{m/s}^{2}$
- A
$6$
- B
$27$
- C
$54$
- D
$0$
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The initial velocity of a particle moving along $x$-axis is $u$ (at $t=0$ and $x=0$ ) and its acceleration $a$ is given by $a=k x$. Which of the following equation is correct between its velocity $(v)$ and position $(x)$ ?
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Match the following columns.
colum $I$
colum $II$
$(A)$ Constant positive acceleration
$(p)$ Speed may increase
$(B)$ Constant negative acceleration
$(q)$ Speed may decrease
$(C)$ Constant displacement
$(r)$ Speed is zero
$(D)$ Constant slope of $a-t$ graph
$(s)$ Speed must increase
| colum $I$ | colum $II$ |
| $(A)$ Constant positive acceleration | $(p)$ Speed may increase |
| $(B)$ Constant negative acceleration | $(q)$ Speed may decrease |
| $(C)$ Constant displacement | $(r)$ Speed is zero |
| $(D)$ Constant slope of $a-t$ graph | $(s)$ Speed must increase |