Neglecting the air resistance, the time of flight of a projectile is determined by:

1. \(U_{vertical}\)

2. \(U_{horizontal}\)

3. \(U = U^2_{vertical} + U^2_{horizontal}\)

4. \(U = (U^2_{vertical} + U^2_{horizontal} )^{1/2}\)

A stone is thrown at an angle \(θ\) with the horizontal, reaches a maximum height of \(H\). Then the time of flight of the stone will be:

1. \(\sqrt{\dfrac{2H}{g}}\)

2. \( 2\sqrt{\dfrac{2H}{g}}\)

3.  \(\dfrac{2\sqrt{2H}\sin\theta}{g}\)

4. \(\dfrac{\sqrt{2H}\sin\theta}{g}\)

The horizontal range of a projectile is \(4 \sqrt{3}\) times its maximum height. Its angle of projection will be:
1. \(45^{\circ}\)
2. \(60^{\circ}\)
3. \(90^{\circ}\)
4. \(30^{\circ}\)

The maximum horizontal range of a projectile is \(400~\text{m}\). The maximum value of height(ever possible) attained by it will be: 
1. \(100~\text{m}\)
2. \(200~\text{m}\)
3. \(400~\text{m}\)
4. \(800~\text{m}\)

Figure shows four paths for a kicked football. Ignoring the effects of air on the flight, rank the paths according to initial horizontal velocity component, highest first

(1) 1, 2, 3, 4

(2) 2, 3, 4, 1

(3) 3, 4, 1, 2

(4) 4, 3, 2, 1

A man standing on a road holds his umbrella at 30° with the vertical to keep the rain away. He throws the umbrella and starts running at 10 km/hr. He finds that raindrops are hitting his head vertically, the speed of raindrops with respect to the road will be:

1. 10 km/hr

2. 20 km/hr

3. 30 km/hr

4. 40 km/hr

A river is flowing from east to west at a speed of \(5\) m/min. A man on south bank of river, capable of swimming \(10\) m/min in still water, wants to swim across the river in shortest time. He should swim:

A thief is running away on a straight road in a jeep moving with a speed of 9 m/s. A police man chases him on a motor cycle moving at a speed of 10 m/s. If the instantaneous separation of jeep from the motor cycle is 100 m, how long will it take for the policemen to catch the thief

1. 1 second

2. 19 second

3. 90 second

4. 100 second

A man sitting in a bus travelling in a direction from west to east with a speed of \(40\) km/h observes that the rain-drops are falling vertically downwards. To another man standing on ground the rain will appear: 

A boat takes two hours to travel \(8\ \text{km}\) and back in still water. If the velocity of water is \(4\ \text{km/h}\), the time taken for going upstream \(8\ \text{km}\) and coming back is:

1. \(2\ \text{h}\)

2. \(2\ \text{h}\ 40\ \text{min}\)

3. \(1\ \text{h}\ 20\ \text{min}\)

4. Cannot be estimated with the information given