Question
A particle's position is given by
z(t) = −(8.10 m/s^2)t^2k
for
t ≥ 0.
(Express your answer in vector form.)
(a) Find the particle's velocity at
t = 3.00 s and t = 6.00 s.
z(t) = −(8.10 m/s^2)t^2k
for
t ≥ 0.
(Express your answer in vector form.)
(a) Find the particle's velocity at
t = 3.00 s and t = 6.00 s.
Answers
Steve
just do the usual derivative:
<b>v</b>(t) = <b>z'</b>(t) = -16.2t<b>k</b>
and evaluate at t=3 and t=6
works the same if there are <b>i</b> and <b>j</b> components as well.
<b>v</b>(t) = <b>z'</b>(t) = -16.2t<b>k</b>
and evaluate at t=3 and t=6
works the same if there are <b>i</b> and <b>j</b> components as well.