A car moving along a straight highway at a speed of \(126~\text{km/h}\) is brought to a stop within a distance of \(200~\text{m}.\) How long does it take for the car to stop?
1. \(10.2~\text{s}\) 
2. \(9.6~\text{s}\) 
3. \(11.4~\text{s}\) 
4. \(6.7~\text{s}\) 

Two trains \(A\) and \(B\) of length \(400~\text m\) each are moving on two parallel tracks with a uniform speed of \(72~\text{km/h}\) in the same direction with \(A\) ahead of \(B.\) The driver of \(B\) decides to overtake \(A\) and accelerates by \(1~\text{m/s}^2.\) If after \(50~\text s,\) the guard of \(B\) just brushes past the driver of \(A,\) what was the original distance between them?
1. \(2000~\text m\)
2. \(2250~\text m\)
3. \(1200~\text m\)
4. \(1250~\text m\)

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

A player throws a ball upwards with an initial speed of \(29.4 \text{ ms}^{- 1}.\) What is the direction of acceleration during the upward motion of the ball?
1. Vertically downwards
2. Vertically upwards
3. First upwards then downwards
4. None of the above

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to \(49~\text{ms}^{-1}.\) How much time does the ball take to return to his hands?