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a football is picked vertically upwards …

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a football is picked vertically upwards from the ground and a student gazing out for windows sees it moving upwards pass her at 5m/s the window is 15m about the ground 

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A=how high does the football above the ground 

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B=how much time does it take to go from the ground to its highest point 

 

  • 1 answers

Payal Singh 6 years, 10 months ago

let the initial velocity of football is u m/sec motion from ground to window

v=5m/sec

h=15m

v2 -u2 =2gh

=> 25 -u2 = 2*(-10)*15

=> u2=325

=u = {tex}\sqrt {325} = 5\sqrt{13}{/tex}m/s

A)motion from window to maximum height

 v2-u= 2as

Here v is final velocity of ball = 0m/s

u is initial velocity of ball = 5m/s

a is acceleration due to gravity = -10 as it is going upward

s is distance traveled by it = ?

So,

=> 0 - 25 = 2*(-10)*h

=> -25 = -20h

=> h = {tex}{-25\over -20}= {5\over 4}{/tex}

Total height = 15 + {tex}{5\over 4} = {65\over 4}{/tex}m

B)motion from ground to max height

u= {tex}5\sqrt{13}{/tex}

v=0

v=u-gt

t={tex}{5\sqrt {13}\over 10}= {\sqrt {13}\over 2} sec{/tex}

 

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