A velocity at 2, 5 and 8 seconds
In physics, you are often given the position of an object as a function of time, and asked for its velocity at certain moments. The velocity is the derivative of the position. Here the position is , with in seconds. What is the velocity at 2 seconds, at 5 seconds and at 8 seconds? Press
,
and the
. Type the function: 3,
,
,
,
, 6,
,
,
, 4. The
moves to the value of : type 2 and press
. The velocity at 2 seconds is 6.. For another moment, you do not type the function again: change only the value of . The
returns to the expression. The
again puts the cursor after the value of . A
puts it on the value, and
deletes it. Type 5 and press
: 24.. Once more for 8 seconds:
,
,
,
, then 8 and
: 42..