The position of an object moving along a line is given by $p(t) = sin(t- pi /4) +3$ . What is the speed of the object at $t = pi/4$ ?

Question

1246 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-25T11:25:38

Speed = 1

velocity $v = p' = cos (t - pi /4)$

$v(pi/4) = cos 0 = 1$

Speed is $s = abs v = 1$

The position of an object moving along a line is given by p(t) = sin(t- pi /4) +3 p(t) = sin(t- pi /4) +3 . What is the speed of the object at t = pi/4 t = pi/4 ?