1
NEET 2017
MCQ (Single Correct Answer)
+4
-1
The x and y coordinates of the particle at any time are x = 5t $$-$$ 2t2 and y = 10t respectively, where x and y are in metres and t in seconds. The acceleration of the particle at t = 2 s is
A
5 m s$$-$$2
B
$$-$$4 m s$$-$$2
C
$$-$$8 m s$$-$$2
D
0
2
NEET 2016 Phase 2
MCQ (Single Correct Answer)
+4
-1
In the given figure, a = 15 m s$$-$$2 represents the total acceleration of particle moving in the clockwise direction in a circle of radius R = 2.5 m at a given instant of time. The speed of the particle is

A
4.5 m s$$-$$1
B
5.0 m s$$-$$1
C
5.7 m s$$-$$1
D
6.2 m s$$-$$1
3
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is
A
45o
B
180o
C
0o
D
90o
4
NEET 2016 Phase 1
MCQ (Single Correct Answer)
+4
-1
A particle moves so that its position vector is given by $$\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omega t\,\widehat y,$$ where $$\omega$$ is a constant.

Which of the following is true?
A
Velocity is perpendicular to $$\overrightarrow r$$ and acceleration is directed towards the origin.
B
Velocity is perpendicular to $$\overrightarrow r$$ and acceleration is directed away from the origin.
C
Velocity and acceleration both are perpendicular to $$\overrightarrow r$$
D
Velocity and acceleration both are parallel to $$\overrightarrow r$$
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