A particle moves along a straight line such that distance x traversed in t secon

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Question
A particle moves along a straight line such that distance x traversed in t seconds is given by x = t²(t + 1), the acceleration of the particle, will be
Options
A. 3t³ - 2t
B. 3t² + 2t
C. 6t - 2
D. 6t + 2
E. 3t - 2

Correct Answer

6t + 2

Applied Mechanics problems

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1. If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
Options
A. 8�
B. 9�
C. 10�
D. 11�
E. 12�.

4. At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is
Options
A. 7 km/hrs
B. 2 km/hrs
C. 1 km/hrs
D. 10 km/hrs
E. 14 km/hrs.

5. Which one of the following statements is true?
Options
A. The tangent of the angle of friction is equal to coefficeint of friction
B. The angle of repose is equal to angle of friction
C. The tangent of the angle of repose is equal to coefficient of friction
D. All the above.

6. u₁ and u₂ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v₁ and v₂. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
Options
A.
B.
C.
D.

7. A uniform rod 9 m long weighing 40 kg is pivoted at a point 2 m from one end where a weight of 120 kg is suspended. The required force acting at the end in a direction perpendicular to rod to keep it equilibrium, at an inclination 60� with horizontal, is
Options
A. 40 kg
B. 60 kg
C. 10 kg
D. 100 kg.

10. If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is
Options
A. 500 metres
B. 1000 metres
C. 1500 metres
D. 2000 metres
E. 25000 metres.

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