Question

2. The distance-time graph shows two cars that are traveling at the same time. Which car has the greater speed, and by how much? DA Car B Car A Distance (km) 480 420 3601 300 2401 1801 120 60 0 2 3 4 5 6 7t Time (h) 12

Answer 1

The speed of the car = distance/time

Let us find the speed of each car

Car A starts from (0, 0) to (6, 360)

Its speed is

`SA=(360-0)/(6-0)=(360)/(6)=60`

The speed of car A is 60 km/h

car B starts at (1, 0) to (6, 480)

Its speed is

`SB=(480-0)/(6-1)=(480)/(5)=96`

The speed of car B is 96 km/h

Therefor car B is faster than car A

Since the difference between their speeds = 96 - 60 = 36 km/h

Car B is faster by 36 km/h