The position of an object moving along a line is given by $p(t) = sin(2t- pi /8) +2$ . What is the speed of the object at $t = (2pi) /3$ ?

Question

The position of an object moving along a line is given by $p(t) = sin(2t- pi /8) +2$ . What is the speed of the object at $t = (2pi) /3$ ?

1 Answer

Impact of this question

1316 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-11-22T13:14:41

I found: $-1.6m/s$

Explanation:

I would derive the time function to get the velocity as:
$v(t)=(dp)/(dt)=2cos(2t-pi/8)$
at $t=(2pi)/3$ we get:
$v((2pi)/3)=2cos(2(2pi)/3-pi/8)=-1.6m/s$

Science

Math

Humanities

... and beyond

The position of an object moving along a line is given by $p(t) = sin(2t- pi /8) +2$ . What is the speed of the object at $t = (2pi) /3$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

The position of an object moving along a line is given by p(t) = sin(2t- pi /8) +2 p(t) = sin(2t- pi /8) +2 . What is the speed of the object at t = (2pi) /3 t = (2pi) /3 ?

1 Answer

Explanation:

Related questions

Impact of this question

The position of an object moving along a line is given by $p(t) = sin(2t- pi /8) +2$ . What is the speed of the object at $t = (2pi) /3$ ?