Galileo's law of odd numbers : The distances traversed during equal intervals of time, by a body falling from rest, stand to one another in the same ratio as the odd numbers beginning with unity namely `1:3:5:7`.....Prove it.

A, B, C are points in a vertical line such that AB=BC . If a body falls freely from rest at A, and t_1 and t_2 are times taken to travel distances AB and BC, then ratio (t_2/t_1) is

In a game of chance, a spining arrow comes to rest at one of the numbers 1,2,3,4,5,6,7,8, All these are equally likely outcomes. Find the probability that it will rest at

In a game of chance, a spinning arrow comes to rest at one of the numbers 1,2,3,4,5,6,7,8. All these are equally likely outcomes. Find the probability that it will rest at (i) 8 (ii) an odd number (iii) a number greater than 2 (iv) a number less than 9.

In a game of chance, a spinning arrow comes to rest at one of the numbers 1,2,3,4,5,6,7,8. All these are equally likely outcomes. Find the probability that it will rest at 8.

A car accelerates uniformly from rest to a speed of 10 m/s in a time of 5 s. The number of revolutions made by one of its wheels during this motion if the radius of the wheel is 1//pi m.

In a game of chance, a spinning arrow comes to rest at one of the numbers 1,2,3,4,5,6,7,8. All these are equally likely outcomes. Find the probability that it will rest at an odd number.

In a game of chance, a spinning arrow comes to rest at one of the numbers 1,2,3,4,5,6,7,8. All these are equally likely outcomes. Find the probability that it will rest at number greater than 2.

In a game of chance, a spinning arrow comes to rest at one of the numbers 1,2,3,4,5,6,7,8. All these are equally likely outcomes. Find the probability that it will rest number less than 9.

A body is projected vertically upwards with a velocity of 10 ms^-1 and another body is projected simultaneously from the same point with a velocity of 20 m s^-1 at an angle of pi/6 with the horizontal. The distance between the two bodies after one second from the time of projection is (Acceleration due to gravity is 10 ms^-2 )