||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{

{{{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|

///
}}}}}}

/* code_ends */

 * '''Solution by''': 
   * ganesh, developer, space
   * bhanukiran, student, technical university of Delft
   * saransh, student, sobhit university
   * ujwala, lecturer, aurangabad