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For 2nd question
The ball is thrown vertically upward so x component of velocity is 0.
At the height of 45m velocity of projection is 0 so
V = 0
U = ?
S = 45
a = -g
v^2 = u^2 + 2aS
0 = u^2 +2*(-10)*45
900 = u^2
u = 30m/s upward
Now we have to check that when the velocity will be 15m/s. The velocity will be 15m/s two time i.e. when the ball is going upward and downward, so we will check the position of the ball at which its speed is half
v^2 = u^2 + 2aS
15*15=30*30 + 2* -10 *S
20S=900–225
20S=675
S = 675/20=33.75 m from ground so
S=ut+1/2at^2
33.75=30*t-5t^2
By solving this quadratic we will get
t= 4.5s and t =1.5s
At this both instant the velocity will be half of the initial velocity of the projection .
Hope it helps u.
jasmitapatil12jan:
Which option suggest you?
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