1
AIPMT 2006
+4
-1
A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t $$-$$ t3. How long would the particle travel before coming to rest ?
A
16 m
B
24 m
C
40 m
D
56 m
2
AIPMT 2005
+4
-1
A ball is thrown vertically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does the ball rise?
(Take g = 10 m/s2.)
A
10 m
B
5 m
C
15 m
D
20 m
3
AIPMT 2005
+4
-1
The displacement x of a particle varies with time t as x = ae$$-$$at + be$$\beta$$t, where a, b, $$\alpha$$ and $$\beta$$ are positive constants. The velocity of the particle will
A
be independent of $$\beta$$
B
drop to zero when $$\alpha$$ = $$\beta$$
C
go on decreasing with time
D
go on increasing with time.
4
AIPMT 2003
+4
-1
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is
A
ut
B
$${1 \over 2}$$ gt2
C
ut $$-$$ $${1 \over 2}$$ gt2
D
(u + gt) t.
EXAM MAP
Medical
NEET