A centrifugally actuated driving pulley for a continuously variable transmission (CVT) has a movable sheave that is connected to the fixed sheave via a ball spline assembly. Also disclosed is a driving pulley for a CVT having a movable sheave that is connected to the fixed sheave via a ball spline assembly, where at least some of the outer grooves receiving the ball bearings of the ball spline assembly are angularly offset from at least some of the corresponding inner grooves receiving the ball bearings of the ball spline assembly. Also disclosed is a driving pulley for a CVT having a movable sheave that is connected to the fixed sheave via a ball spline assembly, where at least some of the outer and inner grooves receiving the ball bearings of the ball spline assembly have a generally ogival cross-section. A CVT and a vehicle having a CVT are also disclosed.