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Assertion : Velocity and acceleration of...

Assertion : Velocity and acceleration of a particle are given as,
`v=hati-hatj and a=-2 hati+2 hatj` This is a two dimensional motion with constant acceleration.
Reason : Velocity and acceleration are two constant vectors.

A

If the both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

Verified by Experts

The correct Answer is:
D
`a=-2(hati-hatj)=-2v`
i.e. a and v are constant vectors and antiparallel to
each other. So motion is one dimensional. First
retarded then accelerated in opposite directions.
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Knowledge Check

  • Assertion: A uniform circular motion is an acceleration motion. Reason: Direction of acceleration is parallel to velocity vector.

    A
    If both the assertion and reason are true and reason is a true explantion of the assertion.
    B
    If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.
    C
    If the assertion is true but reason false
    D
    If both the assertion and reason are false.

  • For any particle moving with some velocity (vecv) & acceleration (veca) , tangential acceleration & normal acceleration are defined as follows. Tangential acceleration - The component of acceleration in the direction of velocity. Normal acceleration - The component of acceleration in the direction perpendicular to velocity. If at a given instant, velocity & acceleration of a particle are given by . vecc=4hati +3hatj vaca=10hati+15hatj+20hatk Find the tangential acceleration of the particle at the given instant :-

    A
    `17(4hati+3hatj)`
    B
    `(17)/(5)(4hati+3hatj)`
    C
    `17(4hati-3hatj)`
    D
    `(17)/(5)(4hati-3hatj)`

  • For any particle moving with some velocity (vecv) & acceleration (veca) , tangential acceleration & normal acceleration are defined as follows. Tangential acceleration - The component of acceleration in the direction of velocity. Normal acceleration - The component of acceleration in the direction perpendicular to velocity. If at a given instant, velocity & acceleration of a particle are given by . vecc=4hati +3hatj veca=10hati+15hatj+20hatk Find the normal acceleration of the particles at the given instant :-

    A
    `(-9hati+12hatj+50hatk)/(5)`
    B
    `(-9hati-12hatj-50hatk)/(5)`
    C
    `(-18hati+24hatj+100hatk)/(5)`
    D
    `(18hati-24hatj-100hatk)/(5)`