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Question
multiple choice question
how is constant speed shown on a distance - time graph?
○ a straight line
○ a line that curves up
○ a line that curves down
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In a distance - time graph, speed is calculated as the slope of the line (since speed = $\frac{\text{distance}}{\text{time}}$). For constant speed, the slope must be constant. A straight line has a constant slope, while a curved line (either curving up or down) has a changing slope, which would represent a changing speed (acceleration or deceleration). So constant speed is shown as a straight line on a distance - time graph.
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a. a straight line