Question

Position-Time Graph

30
Position (m)
10-
8)
Time (s)
The graph above represents the motion of a car. Based on the graph, the car is most
likely-
A) driving up a steep hill
B) speeding up
C) driving at constant speed
D) decelerating

Answer 1

Option (C)

Step-by-step explanation:

From the graph attached,

Position of a car is changing with time.

Let the two points (1, 5) and (2, 10) define the positions of a car at the different moment of time.

Since, speed =
`\frac{\text{Distance traveled by the car}}{\text{Time taken}}`

=
`(10-5)/(2-1)`

= 5 meter per second

Speed of the car = slope of the line on the graph

Since slope of the line is constant, speed of the car will be constant.

Therefore, Option (C) will be the answer.