A popular game in Indian village is goli which is played with small glass balls called golis. The goli of one player is situated at a distance of 2.0 m from the goli of the second player. This second played has to project his goli by keeping the thumb of the left hand at the place of his goli, holding the goli between his two middle fingers and making the throw, if the projected goli hits the goli of the first player, the second player wins. If the height from which the goli projected is 19.6 m from the ground and the goli is to be projected horizontally, with what speed should it be projected so that it directly hits the stationary goli without falling on the ground earlier.

Q. A popular game in Indian villages is goli which is played with small glass balls called golis. The goli of one player is situated at a distance of 2.0 m from the goli of the second player. This second player has to project his goli by keeping the thumb of the left hand at the place of his goli, holding the goli between his two middle fingers and making the throw. If the projected goli hits the goli of the first player, the second player wins. If the height from which the goli is projected is 19.6 cm from the ground and the goli is to be projected horizontally, with what speed should it be projected so that it directly hits the stationery goli without falling on the ground earlier?

Q. From a top of building $19.6m$ high a a ball is projected horizontal after how long does it strike the ground if line joining the projection to the point where it hits the ground makes an $\angle {45}^{\circ }$ with horizontal what is velocity of ball?

Q. A player throws a ball at an angle of ${30}^o$ up with the horizontal with a velocity of $14m/s$. If the point of projection is at a height of $12m$ from the ground, then calculate the distance up to which the ball is thrown by the player. ($g=10m/s^2$)

Q.

Two players X and O play a game of “noughts and crosses” on a 3 $\times$ 3 grid. The purposeof the game is for a player to get 3 symbols belonging to the player in a straight line(vertically, horizontally or diagonally). Each player marks one symbol on his or her turn.After two moves (1 turn each), the grid looks as follows with X to play next. Where should X put his symbol next so that he will always win this game finally regardless of how well O plays?

Q. It is given that the ball hits a wall at a horizontal distance $15m$ at a point $5m$ above the point of projection. If a second wall of height $($$5-dx$$)$ $m$ with $dx\to 0$ has to be constructed such that the ball just misses to hit this wall, horizontal distance of this wall from the point of projection will be