Q. two balls are released simultaneously from a certain
heightone is allowed to fall freely and other thrown with some
horizontalvelocity. will they hit the ground together? substantiate
youranswer with proper reasoning.

Yes

Explanation:

Time taken for the first ball will depend upon the height of roof. As it is dropped so initial vertical velocity will be zero.

so time taken will be

where h=height of roof

g=acceleration due to gravity

Horizontal velocity is given to second ball so it cover more horizontal distance as compared to first but time taken will be same as it has to cover same vertical distance with zero vertical velocity and time taken depends on height of roof and g.

0 = 0.40 / 0 = 0

= 0.20 = 9.80 ⁄2 =?

=0 , = = 0.20 =0.50 0 0.40 ⁄

=0−122 =0−12(9.80 ⁄2)(0.50)2 =1.2