An astronaut accidentally gets separated out of his small spaceship accelerating in interstellar space at a constant rate of 100 $\mathrm{m}/{\mathrm{s}}^2$. What is the acceleration of the astronaut the instant after he is outside the spaceship?

(Assume that there are no nearby stars to exert gravitational force on him.)

1.  0 $\mathrm{m}/{\mathrm{s}}^2$

2.  100 $\mathrm{m}/{\mathrm{s}}^2$

3.  10 $\mathrm{m}/{\mathrm{s}}^2$

4.  1000 $\mathrm{m}/{\mathrm{s}}^2$

A batsman hits back a ball straight in the direction of the bowler without changing its initial speed of \(12\) m/s. If the mass of the ball is \(0.15\) kg, then the impulse imparted to the ball is:
(Assume linear motion of the ball.)
1. \(0.15\) N-s
2. \(3.6\) N-s
3. \(36\) N-s
4. \(0.36\) N-s

Two identical billiard balls strike a rigid wall with the same speed but at different angles, and get reflected without any change in speed, as shown in the figure. The ratio of the magnitudes of impulses imparted to the balls by the wall is:

1. \(2:3\)
2. \(\sqrt{3}:2\)
3. \(2:\sqrt{3}\)
4. \(1:1\)

Two identical billiard balls strike a rigid wall with the same speed but at different angles and get reflected without any change in speed as shown in the figure. The direction of the force on the wall due to ball in case (a) and (b) respectively is in the direction of?

1.  +ve x-axis & -ve x-axis

2.  -ve x-axis & +ve y-axis

3.  +ve x-axis in both cases

4.  -ve x-axis in both cases