Two cars P and Q brake from the same speed. Q has 1.5 times the mass of P and experiences twice the constant resultant braking force. The braking distance of P is 32 m. What is the braking distance of Q?
24 m24\ \mathrm{m}24 m
16 m16\ \mathrm{m}16 m
48 m48\ \mathrm{m}48 m
96 m96\ \mathrm{m}96 m