A child pulls a box with a force of 200 N at an angle of 60°above the horizontal. Then the horizontal and vertical components of the force will be:
              

1. 100 N, 175 N

2.  86.6 N, 100 N  

3.  100 N, 86.6 N

4. 100 N, 0 N

Subtopic:  Resolution of Vectors |
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A man rows a boat at a speed of 18 km/hr in the northwest direction. The shoreline makes an angle of 15° south of west. The component of the velocity of the boat along the shoreline is:

1.  9 km/hr

2.  1832 km/hr

3.  18 cos 15° km/hr

4.  18 cos 75° km/hr

Subtopic:  Resolution of Vectors |
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The linear velocity of a rotating body is given by v=ω×r, where ω is the angular velocity and r is the radius vector. The angular velocity of a body, ω=i^-2j^+2k^ and their radius vector is  r=4j^-3k^, then value of |v| will be:

1.  29 units

2.  31 units

3.  37 units

4.  41 units

Subtopic:  Vector Product |
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The displacement of a particle is given by y=a+bt+ct2-dt4. The initial velocity and initial acceleration, respectively, are: (\(Given: v=\frac{dx}{dt}~and~a=\frac{d^2x}{dt^2}\))

1.  b, -4d

2.  -d, 2c

3.  b, 2c

4.  2c, -4d

Subtopic:  Differentiation |
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The position x of the particle varies with time t as x=at2-bt3 The acceleration of the particle will be zero at a time equal to: (\(Given: a=\frac{d^2x}{dt^2}\))

1.  ab

2.  2ab

3.  a3b

4.  Zero

Subtopic:  Differentiation |
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A body is moving according to the equation x=at+bt2-ct3 where x represents displacement and a, b and c are constants. The acceleration of the body is: (\(Given: a=\frac{d^2x}{dt^2}\))

1.  a+2bt

2.  2b+6ct

3.  2b-6ct

4.  3b-6ct2

Subtopic:  Differentiation |
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A particle moves along the X-axis so that its X coordinate varies with time t according to the equation x=2-5t+6t2m. The initial velocity of the particle is: (\(Given; v=\frac{dx}{dt}\))

1.  -5 m/s

2.  6 m/s

3.  3 m/s

4.  4 m/s

Subtopic:  Differentiation |
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The maximum value of the function 7+6x-9x2 is:

1.  8

2.  -8

3.  4

4.  -4

Subtopic:  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.

Subtopic:  Differentiation |
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The resultant of the forces P and Q is R. If Q is doubled, then the resultant also doubles in magnitude. Find the angle between P and Q.

1.  cos θ=Q2P

2.  cos θ=-4Q3P

3. cos θ=-2Q3P

4.  cos θ=-3P4Q

Subtopic:  Resultant of Vectors |
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