Question

Find:when does the object return to its original position given:

Answer 1

The Solution:

Given:

Required:

find when the object returned to its original position.

Substitute S(t) = 0 and solve for t.

`t^{(5)/(2)}(7-t)=0`

By factor,

`\begin{gathered} t^{(5)/(2)}=0 \\ \\ 7-t=0 \\ t=7\text{ seconds} \end{gathered}`

Thus, the object returns to its original position after 7 seconds.