A Ball Bearing Is Placed on an Inclined Plane and Begins

Multiple Choice

A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is $\theta = \frac { \pi } { 9 }$ radians. The distance (in meters) the ball bearing rolls in $t$ seconds is $s ( t ) = 4.9 ( \sin \theta ) t ^ { 2 }$ . Determine the value of $s ^ { t } ( t )$ after one second. Round numerical values in your answer to one decimal place.

A) $s ^ { \prime } ( t ) = 3.4$
B) $s ^ { \prime } ( t ) = 1.7$
C) $s ^ { \prime } ( t ) = 4.5$
D) $s ^ { \prime } ( t ) = 5.7$
E) $s ^ { \prime } ( t ) = 2.4$