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49. A body moving along a straight path has velocities u m/s and v m/s at two different points. What is the velocity of the body at the mid point of the above two pointsA. sqrt[(u2+v2)/2]B. (u+v)/2C. uv/(u+v)D. (v-u)/2

ANSWER: A

60. Rain drops fall from a great height under gravity. Check the only correct statement out of the following:A. They fall with terminal velocities which are different for drops ofdifferentsizes.B. They fall with terminal velocity which is the same for drops of different sizes.

C. Their velocities increase till they enter into the earth's atmosphere and further decrease till they hitthe earthD. Their velocities increase till they enter into the earth's surface

ANSWER: A

An engine of a train moving with uniform acceleration passes an electric pole with velocity u and the last compartment with velocity v. The middle point of thetrain passes past the same pole with a velocity ofA. (u+v)/2B. (u2+v2)/2C. sqrt(u2+v2)/2D. (v2 - u2)/2

ANSWER: A

28. A body moving with uniform retardation in +X direction has a velocity sqrt(kx) at origin and sqrt(x) at a distance x from the originA. The time to travel x distance from the origin is 2sqrt(x)/sqrt(k) + 1

B. Acceleration a = (k-1)/2C. Velocity at x/2 is sqrt(x[k+1]/2)D. Velocity at x/2 is sqrt(x[k-1]/2)

ANSWER: A

85. A uniformly accelerating train passes a person on the ground. If the speedsof the points 1,2,3 on the train as they pass the person are u1, u2 and u3 respectively and u1/u2 = u2/u3, then s1/s2 isA. u1/u2B. (u1/u2)2C. u3/u1D. (u3-u2)/(u2-u1)

ANSWER: A

86. A car travels in a straight line with varying velocity given by v = modulus(t-t0) for 0

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ANSWER: A

87. Two bodies move with uniform acceleration along a straight line. The ratio of the initial speeds of the bodies is 2:1 and the ratio of their acceleration is 1:2 respectively. Then the ratio of the instantaneous speeds of the bodies at any time t isA. 1:1B. 1:4C. 2:1D. Ratio varies with time

ANSWER: A

88. A long straight rope lying on a floor is pulled along its length with uniform acceleration . If the velocities of the front and back end of the rope , whenit passes through a particular point on the floor are 2m/s and 4m/s, the velocity of the mid point of the rope, when it passes through the same point in m/s isA. 2sqrt(2)B. sqrt(10)C. 3D. 2.67

ANSWER: A

89. A point object starts from rest from origin and moves with a uniform acceleration of ai + bj + ck. The distance of the object from the origin after 1 sec is A. sqrt(a2 +b2+c2)/2B. sqrt(ab +bc+ca)/2C. a+b+cD. (a+b+c)2

ANSWER: A

90. A paricle moving along a straight line with uniform acceleration covers distances AB =8m and BC = 18m in one sec each. The speed of the particle at point B

 isA. 13B. 8C. 5D. 10

ANSWER: A

A.B.C.D.

ANSWER: A

A.B.C.D.

ANSWER: A

A.

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B.C.D.

ANSWER: A

A.B.C.