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 = 189-3t²

t=0 = > v=189 m/s.

189-3t² = 0

t=√(189/3) =√63 = 7.94 s.

s=189 t- t³=

=189(7.94) -7.94³=1000.1 m

a=dv/dt =d(189-3t²)/dt= - 6t

t=8 => a= - 6•8 = - 48 m/s²

## Answer this Question

## Related Questions

- calculus (gr 12) - The forward motion of a space shuttle, t seconds after ...
- calculus (gr 12) - The forward motion of a space shuttle, t seconds after ...
- calculus (gr 12) - The forward motion of a space shuttle, t seconds after ...
- Grade 12 Calculus - The forward motion of a space shuttle, t seconds after ...
- Grade 12 Calculus - 6. The forward motion of a space shuttle, t seconds after ...
- Math - An observer 2.5 miles from the launch pad of a space shuttle measures the...
- Math - An observer 2.5 miles from the launch pad of a space shuttle measures the...
- Physics - The space shuttle has a weight 2.00 x 10^7 N. The shuttle is ...
- physics - The space shuttle has a mass of 2.0 × 106 kg. At lift-off the engines ...
- physics - A 94- astronaut and a 1200- satellite are at rest relative to the ...

More Related Questions