Home
Class 12
PHYSICS
Acceleration of a particle which is at r...

Acceleration of a particle which is at rest at `x=0` is `a=(4-2x)hati`. Select the correct alternative (s)

A

particle further comes to rest x=4

B

particle oscillates about x=2

C

maximum speed of the particle is 4 units

D

all of the above

Text Solution

Verified by Experts

The correct Answer is:
a,b
`v(dv)/(dx)=(4-2x)=int_(O)^(V)vdv=int_(O)^(X)(4-2x)dx`
`impliesv^(2)=4x-x^(2)`
`v^(2)=8x-2x^(2)`
`V^(2)=O` and x-0 and x=4
next `2v(dv)/(dt)=8v-4vx`
a=4-2x
`implies`0=4-2x since a=0 at any points
x=4 thus it will oscillates about it.
Promotional Banner

Similar Questions

Explore conceptually related problems

Acceleration of a particle which is at rest at x=0 is vec a = (4 -2 x) hat i . Select the correct alternative (s).

Displacement time graph of a particle moving in a straight line is as shown in figure. Select the correct alternative (s) : .

The relation between acceleration and distance is is : a= ( 4-2x) .Select the correct alternative (s) .

Accleration-time graph of a particle executing SHM is as shown in figure. Select the correct alternatives(s).

If all the resistors are identical , select the correct alternative (s).

In the circuit shown, the switch is closed at t=0. Select the correct alternative(s)

Velocity-time graph of a particle executing SHM is shown in figure. Select the correct alternative(s).

A particle moves along x-axis such that its position veries with time as x=50t-5t^2 . Select the correct alternative (s).

The equational of a stationary wave in a string is y=(4mm) sin [(314m^(-1)x] cos omegat . Select the correct alternative (s).

Two particles A and B are located in x-y plane at points (0,0) and (0,4m) . They simultaneoulsy start moving with velocities v_(A)=2hatjm//s and v_(B)=2hatim//s . Select the correct alternative(s)