1
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
A particle has initial velocity $$\left( {2\overrightarrow i + 3\overrightarrow j } \right)$$ and acceleration $$\left( {0.3\overrightarrow i + 0.2\overrightarrow j } \right)$$. The magnitude of velocity after 10 seconds will be
A
$$9\sqrt 2 $$
B
$$5\sqrt 2 $$
C
5 units
D
9 units
2
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is
A
$$\theta $$ = tan$$-$$1$$\left( {{1 \over 4}} \right)$$
B
$$\theta $$ = tan$$-$$1(4)
C
$$\theta $$ = tan$$-$$1(2)
D
$$\theta $$ = 45o
3
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45o, the speed of the car is
A
20 m s$$-$$1
B
30 m s$$-$$1
C
5 m s$$-$$1
D
10 m s$$-$$1
4
AIPMT 2012 Prelims
MCQ (Single Correct Answer)
+4
-1
Change Language
Two persons of masses 55 kg and 65 kg respectively, are at the opposite ends of a boat. The length of the boat is 3.0 m and weights 100 kg. The 55 kg man walks up to the 65 kg man and sits with him. If the boat is in still water the centre of mass of the system shifts by :
A
3.0 m
B
2.3 m
C
zero
D
0.75 m