(4) of these3. The relation 3-73x + 6 describes theahdisplacement of

1.	(4) of these3. The relation 3-73x + 6 describes theahdisplacement of a particle in one direction where xis in meters and t in seconds. The displacement,when velocity is zero, is:-[AIPMT 2000(1) 24 m(3) 5 m(2) 12 mzeroina acording to the equation 9.
Answer» 3t=(3x)^1/2 + 6 simplify the expression x=(1/3)(3t-6)^2.........(1) for velocity diffrentiate v=dx/dt=(2/3)(3t-6)*3 =6t-12 for v=0 6t-12=0 or t=2 put value of t in equation 1 x=0 for t<2 motion is not define motion is just started after t>=2 at this point displacement as well as velocity is zero

(4) of these3. The relation 3-73x + 6 describes theahdisplacement of a particle in one direction where xis in meters and t in seconds. The displacement,when velocity is zero, is:-[AIPMT 2000(1) 24 m(3) 5 m(2) 12 mzeroina acording to the equation 9.

Answer»

3t=(3x)^1/2 + 6

simplify the expression

x=(1/3)(3t-6)^2.........(1)

for velocity diffrentiate

v=dx/dt=(2/3)(3t-6)*3

=6t-12

for v=0

6t-12=0

or t=2

put value of t in equation 1

x=0

for t<2 motion is not define

motion is just started after t>=2

at this point displacement as well as velocity is zero