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On a velocity vs time graph, what does a line of constant acceleration look like?

User Dewiniaeth
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2 Answers

4 votes

Answer: It appears curved

Step-by-step explanation:

User Hyperdrive
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5 votes

Answer: like a linear equation where the slope is the constant value of the acceleration.

Step-by-step explanation:

As you know, acceleration is the rate of change of the velocity over time, so if we integrate the acceleration over the time, we obtain the equation for the velocity (plus a constant, which is the initial velocity)

If we have a constant acceleration;

a(t) = c

we integrate it and get:

v(t) = c*t + constant.

This is a linear equation, so the graph where the acceleration is constant, looks like a linear equation with slope equal to the constant.

User Xiwen Li
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5.2k points