1
AIPMT 2007
+4
-1
A particle moving along x-axis has acceleration f, at time t, given by f = f0$$\left( {1 - {t \over T}} \right),$$ where f0 and T are constants.The particle at t = 0 has zero velocity. In the time interval between t = 0 and the instant when f = 0, the particle's velocity (vx) is
A
$${1 \over 2}$$ f0T2
B
f0T2
C
$${1 \over 2}$$ f0T
D
f0T
2
AIPMT 2007
+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
$${{2{v_d}{v_u}} \over {{v_d} + {v_u}}}$$
3
AIPMT 2007
+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
4
AIPMT 2006
+4
-1
Two bodies A (of mass 1 kg) and B (of mass 3 kg) are dropped from heights of 16 m and 25 m, respectively. The ratio of the time taken by them to reach the ground is
A
4/5
B
5/4
C
12/5
D
5/12
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