On a two-lane road, car A is travelling at a speed of \(36\) kmh^-1. Two cars B and C approach car A in opposite directions with a speed of \(54\) kmh^-1 each. At a certain instant, when the distance AB is equal to AC, both being \(1\) km, B decides to overtake A before C does. What minimum acceleration of car B is required to avoid an accident?
1. \(1\) ms^-2
2. \(5\) ms^-2
3. \(2\) ms^-2
4. \(3\) ms^-2

A player throws a ball upwards with an initial speed of $29.4 m s^{-1}$. What is the direction of acceleration during the upward motion of the ball?

A particle in one-dimensional motion:

A man walks on a straight road from his home to a market \(2.5\) km away with a speed of \(5\) km/h. Finding the market closed, he instantly turns and walks back home with a speed of \(7.5\) km/h. What is the magnitude of the average velocity of the man over the interval of time \(0\) to \(30\) min?
1. \(6\) km/h
2. \(5\) km/h
3. \(5.6\) km/h
4. \(6.6\) km/h

The instantaneous speed is always:

A police van moving on a highway with a speed of $30 km h^{-1}$ fires a bullet at a thief’s car speeding away in the same direction with a speed of $192 km h^{-1}$. If the muzzle speed of the bullet is $150 m s^{-1},$ with what speed does the bullet hit the thief’s car? 

$\left(1\right) 103 m s^{-1}$
$\left(2\right) 105 m s^{-1}$
$\left(3\right) 101 m s^{-1}$
$\left(4\right) 102 m s^{-1}$

The figure gives the \((\mathrm{x-t})\) plot of a particle in a one-dimensional motion. Three different equal intervals of time are shown. The signs of average velocity for each of the intervals \(1,\) \(2\) & \(3,\) respectively are:

The figure gives a speed-time graph of a particle in motion along the same direction. Three equal intervals of time are shown. In which interval is the average acceleration greatest in magnitude?

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to $49$ $m$ $s^{-1}.$  How much time does the ball take to return to his hands? 
1. 5 s
2. 10 s
3. 15 s
4. 7 s

On a long horizontally moving belt (as shown in the figure) a child runs to and fro with a speed $9 km h^{-1}$ (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of $4 km h^{-1}$. For an observer on a stationary platform outside, what is the speed of the child running in the direction of motion of the belt?

1. 5 kmh^-1
2. \(\sqrt{41}\) kmh^-1
3. 21 kmh^-1
4. 13 kmh^-1