Specialist2024 Exam 2 Section A · Q11CAS active1 mark

Displacement from a velocity–time graph

Velocity–time graph with v on the vertical axis and t on the horizontal axis. A straight line runs from (0, 40) down through the t-axis to (100, −20), then a second straight line rises from (100, −20) to (150, 0).

The velocity–time graph of a particle moving along an east–west line with velocity $v$ m s $^{-1}$ at time $t$ seconds, starting from a fixed origin $O$ , is shown below. The graph comprises two straight line segments.

The initial velocity of the particle is 40 m s $^{-1}$ to the east.

How far, in metres, is the particle to the east of $O$ , 150 seconds later?

1 mark

A450B500C1000D

\frac{6500}{3}

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