Show that the function f(x) = |x| is continuous on all of R.b) Between t_i =...

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Question

Answer 1

Answer #1

a )

given m = 6.33 kg ,

t_i = 0 , t_f = 4.89 sec

then change in velocity $\Delta$ v = 12 X ( 4.89 - 0 ) / 6.33

$\Delta$ v = 9.27 m/sec

b )

given m = 6.33 kg ,

t_i = 4.71 , t_f = 10 sec

then change in velocity $\Delta$ v = ( 12 X ( 7 - 4.71 ) + 0.5 X 12 X 3 ) / 6.33

$\Delta$ v = 7.18 m/sec

c )

given m = 6.33 kg ,

t_i = 10 , t_f = 17.3 sec

then change in velocity $\Delta$ v = [ 0.5 X ( -6 ) X 4 + 0.5 X ( -6 ) X 6 + 0.5 ( 20-17.3 )X (20-17.3) ] / 6.33

= ( - 12 - 18 + 3.645 ) / 6.33

$\Delta$ v = - 4.16 m/sec

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