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Art [367]
3 years ago
15

Accelerated motion is represented by a _____ line on a nonlinear distance-time graph.

Physics
2 answers:
Natasha_Volkova [10]3 years ago
4 0

Accelerated motion could be changing speed, or changing direction, or both.

If it's only the direction changing and not the speed, then you'll never see it on a distance/time graph.

If the speed is changing, then a <em>velocity</em>/time graph can be any kind of a line except horizontal or vertical, and a <u><em>distance</em></u>/time graph must be <em>curved</em>.

Delicious77 [7]3 years ago
4 0

Answer:

Accelerated motion is represented by a <u>CURVED</u> line on a nonlinear distance-time graph.

Explanation:

For uniform acceleration we know that

\frac{dv}{dt} = a

now integrating both sides we will have

\int dv = \int adt

now after integration we will have

v - v_o = at

now we have

v = v_o + at

again we know that

\frac{dx}{dt} = v_o + at

again by integration both sides

x - x_0 = v_o t + \frac{1}{2}at^2

x = x_0 + v_0t + \frac{1}{2}at^2

now since this equation is a quadratic equation so here distance time graph must be a curved graph

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