Two balls are thrown vertically, one with an initial velocity twice that of the other What will be the - Physics - Motion in a Plane

Question

​Two balls are thrown vertically, one with an initial
velocity twice that of the other What will be the maximum height of
the ball thrown with greater velocity in terms of the other ?

Manas Pant · Accepted Answer

Dear
Student,

As we know that at maximum height velocity(v) = 0
Let 'u' be the initial velocity of first ball, so '2u' will be the
initial velocity of another ball
Now for first ball, using equation of motion,
v2 = u2 - 2gh                                        [ let 'h' be the height of first ball]⇒ u2 =  2gh            
(1)     [ at max height, v=0]

Now for 2nd ball,

(2u)2 = 2gH                         [ given, initial velocity of 2nd ball=2u,H= max height of 2nd ball]                4u2  = 2gH        
(2)

From equation (1) & (2)
H = 4h

So, maximum height of 2nd ball is four times that of first ball

Regards

​Two balls are thrown vertically, one with an initial velocity twice that of the other .What will be the maximum height of the ball thrown with greater velocity in terms of the other ?

Two balls are thrown vertically, one with an initial velocity twice that of the other .What will be the maximum height of the ball thrown with greater velocity in terms of the other ?