A cricket bowler releases the ball in two different ways (a) giving it only horizontal velocity, and (b) giving it horizontal velocity and a small downward velocity. The speed Vs at the time of release is the same. Both are released at a height H from the ground. Which one will have greater speed when the ball hits the ground ? Neglect air resistance

A cricket bowler releases the ball in two different ways (a) giving it

1.	A cricket bowler releases the ball in two different ways (a) giving it only horizontal velocity, and (b) giving it horizontal velocity and a small downward velocity. The speed Vs at the time of release is the same. Both are released at a height H from the ground. Which one will have greater speed when the ball hits the ground ? Neglect air resistance
Answer» Solution :Inprojectile horizontalcomponentis notaffected by gravityitremainconstant . a smalldownwardvelocity Let the ballbe givena smalldownwardvelocity inverticaldirection or`v_(y)= SQRT(U^(2) + 2G H)` `V= sqrt(v_(X)^(2)+ v_(y)^(2)) = sqrt(v_(s)^(2) + u^(2) + 2g H)` (b )when ball isgivenonlyhorizontalvelocityhorizontalvelocityat the timeofrelease. `(u_(x))= v_(s)` Duringprojecticlemotionhorizontalvelocityremainsunchanged inverticaldirection`v_(y)^(2)= u_(y)^(2)+ 2gH` Resultantspeedof theballat bottom `v= sqrt(v_(x)^(2)+ v_(y)^(2))` `=sqrt(v_(s)^(2) + 2gH)`