An object moves so that at time t its position s is found using $s (t) = 5 \cdot cos (t)$ $s(t) = 5*cos(t)$ . For what values of 't' does the object change direction?

Question

An object moves so that at time t its position s is found using $s (t) = 5 \cdot cos (t)$ $s(t) = 5*cos(t)$ . For what values of 't' does the object change direction?

1 Answer

Impact of this question

3943 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-06T17:51:23

It changes direction at $\frac{π}{2}$ $pi/2$ , $\frac{3 π}{2}$ $(3pi)/(2)$ , and onwards at $π$ $pi$ intervals

Explanation:

www.mathsisfun.com

$s (t) = 5 cos (t)$ $s(t)=5cos(t)$

The graph is of the form above, the amplitude is 5.

You can see that $y$ $y$ , which in this case is $s$ $s$ , first becomes -ve at $\frac{π}{2}$ $(pi)/(2)$ . Half a cycle i.e $π$ $pi$ radians later it becomes +ve again at $\frac{3 π}{2}$ $(3pi)/(2)$

So at every $π$ $pi$ interval it changes direction.

Science

Math

Humanities

... and beyond

An object moves so that at time t its position s is found using $s (t) = 5 \cdot cos (t)$ $s(t) = 5*cos(t)$ . For what values of 't' does the object change direction?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

An object moves so that at time t its position s is found using s(t) = 5*cos(t)s(t)=5⋅cos(t)s(t) = 5*cos(t). For what values of 't' does the object change direction?

1 Answer

Explanation:

Related questions

Impact of this question

An object moves so that at time t its position s is found using $s (t) = 5 \cdot cos (t)$ $s(t) = 5*cos(t)$ . For what values of 't' does the object change direction?