{{{id=1|
t = var('t')

y=function('y',t)

diff(y,t,t) = 7*t

diff(y,t) = integrate(7*t, t)
///

{{{id=3| diff(y,t) /// 7/2*t^2 }}}

{{{id=4| integrate(diff(y,t), t)

distance1 = integrate(diff(y,t), t).subs(t = 10) print distance1 /// 3500/3 }}}

{{{id=5| #distance travelled in 10sec = 7/6*10^3 = 3500/3

#velocity at 10sec =

u = diff(y,t).subs(t = 10)

#the additional height it travels due to this velocity =

distance2 = u^2/(2*9.8)

print distance2

print distance1 + distance2 /// 6250.00000000000 7416.66666666667 }}}

{{{id=6|

/// }}}}}}

SageDays/Kreyszig-1.4-4 (last edited 2010-08-10 11:43:52 by bhanukiran)