1
AIEEE 2006
+4
-1
A particle located at x = 0 at time t = 0, starts moving along the positive x-direction with a velocity 'v' that varies as $$v = \alpha \sqrt x$$. The displacement of the particle varies with time as
A
t2
B
t
C
t1/2
D
t3
2
AIEEE 2005
+4
-1
A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate $${f \over 2}$$ to come to rest. If the total distance traversed is 15 S, then
A
$$S = {1 \over 6}f{t^2}$$
B
$$S = ft$$
C
$$S = {1 \over 4}f{t^2}$$
D
$$S = {1 \over 72}f{t^2}$$
3
AIEEE 2005
+4
-1
The relation between time t and distance x is t = ax2 + bx where a and b are constants. The acceleration is
A
2bv3
B
-2abv2
C
2av2
D
-2av3
4
AIEEE 2005
+4
-1
A parachutist after bailing out falls $$50$$ $$m$$ without friction. When parachute opens, it decelerates at $$2\,\,m/{s^2}.$$ He reaches the ground with a speed of $$3$$ $$m/s$$. At what height, did he bail out?
A
$$182$$ $$m$$
B
$$91$$ $$m$$
C
$$111$$ $$m$$
D
$$293$$ $$m$$
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