Physics

Problem

A rider on a vertical circular track of radius

12\,\text{m}

passes through the lowest point while moving horizontally to the right at

8\,\text{m}\,\text{s}^{-1}

. At that instant the rider’s speed is increasing at

1.5\,\text{m}\,\text{s}^{-2}

along the track. What are the magnitude and direction of the rider’s total acceleration? a)

7.0\,\text{m}\,\text{s}^{-2}

16^{\circ}

to the right of upward b)

9.9\,\text{m}\,\text{s}^{-2}

9^{\circ}

to the right of upward c)

5.5\,\text{m}\,\text{s}^{-2}

16^{\circ}

to the right of upward d)

5.5\,\text{m}\,\text{s}^{-2}

16^{\circ}

to the right of downward