A marble is rolling across the floor at a speed of $6\mathrm{.}5\frac{m}{s}$ when it starts up a plane inclined at $22$ to the horizontal.

Part $($a$)$

In units of meters, how far along the plane does the marble travel before coming to rest?

$d=$ m

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Part $($b$)$

How much time in seconds elapses while the marble moves up the plane?