In in the following graph, AB and CD are the time graphs for the two cars whose initial speeds are 52 km/h(14.4 m/s) and 34 km/h(8.9 m/s), respectively.

Distance covered by the first car before coming to rest

= Area of triangle AOB

= ½ × AO × BO

= ½ × 52 kmh-1 × 5 s

= ½ x (52 × 1000 × 1/3600) ms-1 × 5 s = 36.1 m

Distance covered by the second car before coming to rest

= Area of triangle COD

= ½ × CO × DO

= ½ × 34 km h-1 × 10 s

= ½ × (34 × 1000 × 1/3600) ms-1 ×10 s = 47.2 m

Thus, the second car travels farther than the first car after they applied the brakes.