Posted by I JUST NEED TO KNOW D on Saturday, April 20, 2013 at 9:32am.
6. The forward motion of a space shuttle, t seconds after touchdown, is described by
s(t) = 189t − t^3, where " is measured in metres.
a) What is the velocity of the shuttle at touchdown?
b) How much time is required for the shuttle to stop completely?
c) How far does the shuttle travel from touchdown to a complete stop?
d) What is the deceleration 8 seconds after touchdown?

calculus  Reiny, Saturday, April 20, 2013 at 11:33am
d)
v = 189  3t^2
a = 6t
so when t = 8, a = .....
(how easy was that? )

calculus  Elena, Saturday, April 20, 2013 at 3:05pm
s= 189t t³
v=ds/dt = 1893t²
t=0 = > v=189 m/s.
1893t² = 0
t=√(189/3) =√63 = 7.94 s.
s=189 t t³=
=189(7.94) 7.94³=1000.1 m
a=dv/dt =d(1893t²)/dt=  6t
t=8 => a=  6•8 =  48 m/s²
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