1
AIPMT 2007
MCQ (Single Correct Answer)
+4
-1
A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd. The average speed for this round trip is
A
$$\sqrt {{v_u}{v_d}} $$
B
$${{{v_d}{v_u}} \over {{v_d} + {v_u}}}$$
C
$${{{v_u} + {v_d}} \over 2}$$
D
$${{2{v_d}{v_u}} \over {{v_d} + {v_u}}}$$
2
AIPMT 2007
MCQ (Single Correct Answer)
+4
-1
The positions x of a particle with respect to time t along x-axis is given by x = 9t2 $$-$$ t3 where x is in metres and t in seconds. What will be the position of this particle when it achieves maximum speed along the + x direction ?
A
54 m
B
81 m
C
24 m
D
32 m
3
AIPMT 2007
MCQ (Single Correct Answer)
+4
-1
$$\overrightarrow A $$ and $$\overrightarrow B $$ are two vectors and $$\theta $$ is the angle between them, if $$\left| {\overrightarrow A \times \overrightarrow B } \right| = \sqrt 3 \left( {\overrightarrow A .\overrightarrow B } \right),$$ the value of $$\theta $$ is
A
45o
B
30o
C
90o
D
60o
4
AIPMT 2007
MCQ (Single Correct Answer)
+4
-1
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) planes. Its coordinates at a later time are $$\left( {\sqrt 3 ,3} \right)$$. The path of the particle makes with the x-axes an angle of
A
45o
B
60o
C
0o
D
30o.
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