1
AIEEE 2011
+4
-1
An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by :
$${{dv} \over {dt}} = - 2.5\sqrt v$$ where v is the instantaneous speed. The time taken by the object, to come to rest, would be :
A
2 s
B
4 s
C
8 s
D
1 s
2
AIEEE 2011
+4
-1
A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the fountain is v, the total area around the fountain that gets wet is :
A
$$\pi {{{v^4}} \over {{g^2}}}$$
B
$${\pi \over 2}{{{v^4}} \over {{g^2}}}$$
C
$$\pi {{{v^2}} \over {{g^2}}}$$
D
$$\pi {{{v^2}} \over g}$$
3
AIEEE 2010
+4
-1
A particle is moving with velocity $$\overrightarrow v = k\left( {y\widehat i + x\widehat j} \right)$$, where K is a constant. The general equation for its path is
A
y = x2 + constant
B
y2 = x + constant
C
xy = constant
D
y2 = x2 + constant
4
AIEEE 2009
+4
-1
A particle has an initial velocity $$3\widehat i + 4\widehat j$$ and an acceleration of $$0.4\widehat i + 0.3\widehat j$$. Its speed after 10 s is:
A
$$7\sqrt 2$$ units
B
7 units
C
8.5 units
D
10 units
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