Question

The graph shows the distance a cyclist traveled in yards (y) as a function of time in seconds (x). The graph is divided into four segments; labeled P, Q, R, and S, respectively. A line graph is drawn on the first quadrant of a coordinate plane. The x-axis is labeled Time in seconds and the y-axis is labeled Distance in yards. The line graph is divided into 4 segments labeled P, Q, R, and S. P starts at the origin and is a straight line slanting up. Q is a line segment that starts at the end of P and is horizontal. R is a straight line that starts at the end of Q and slants up with a steeper slope than P. S is a straight line that starts at the end of R and slopes down to touch the x axis. Which segment shows the cyclist returning to the starting point? P Q R S

Answer 1

Letter S

Explanation:

Answer 2

S

Explanation:

Segment P shows as time is increasing, distance is also increasing. Which means the cyclist is moving forward at a speed.

Segment Q shows that distance is constant but time is increasing. This means that the cyclist is at rest.

Segment R shows as time in increasing, distance is also increasing. Which means the cyclist is moving forward.

Segment S shows that as time increases, distance decreases to the t-axis [ the point where Segment P started, hence original position]. This shows the cyclist returning to the starting point

Correct answers is Segment S.