A particle moves along x-axis as x=4t-2+at-22

Which of the following is true?

1.  The initial velocity of the particle is 4.

2.  The acceleration of the particle is 2a.

3.  The particle is at the origin at t=0.

4.  None of these

Concept Questions :-

Differentiation
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The maximum value of 7+6x-9x2 is

(A)  8

(B)  -8

(C)  4

(D)  -4

Concept Questions :-

Differentiation
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If fx=x2-2x+4, then f(x) has

1.  a minimum at x=1

2.  a maximum at x=1

3.  no extreme point

4.  no minimum

Concept Questions :-

Differentiation
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A particle is moving along x-axis. The velocity v of particle varies with its position x as v=1x. Find velocity of particle as a function of time t given that at t=0, x=1 .

1.  v=2t+1

2.  v=12t+1

3.  v=1t

4.  None of these

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A vector A is directed along 30° west of north direction and another vector B along 15° south of east. Their resultant cannot be in ____________ direction.

(A)  North

(B)  East

(C)  North-East

(D)  South

Concept Questions :-

Resultant of Vectors
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ABCD is a quadrilateral. Forces BA, BC, CD & DA act at a point. Their resultant is 

(A)  2 AB

(B)  2 DA

(C)  zero vector

(D)  2 BA

Concept Questions :-

Resultant of Vectors
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The resultant of the forces P and Q is R. If Q is double then the resultant also doubles in magnitude. Find the angle between P and Q.

(A)  cos θ=Q2P

(B)  cos θ=-4Q3P

(C)  cos θ=-2Q3P

(D)  cos θ=-3P4Q

Concept Questions :-

Resultant of Vectors
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The maximum and minimum magnitude of the resultant of two vectors are 17 units and 7 units respectively. Then the magnitude of resultant of the vectors when they act perpendicular to each other is:

(A)  14

(B)  16

(C)  18

(D)  13

Concept Questions :-

Resultant of Vectors
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A vector A makes an angle of 20° and B makes an angle of 110° with the X-axis. The magnitudes of these vectors are 3 m and 4 m respectively. Find the magnitude of the resultant.

(A)  1

(B)  52

(C)  5

(D)  7

Concept Questions :-

Resultant of Vectors
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A particle is moving westward with a velocity v1=5 m/s. Its velocity changed to v2=5m/s northward. The change in velocity vector V=v2-v1 is:

(A)  52 m/s  towards north east

(B)  5 m/s  towards north west

(C)  zero

(D)  52 m/s towards north west

Concept Questions :-

Resultant of Vectors
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