Question 81: Motion in 1D

Question

Which graph corresponds to an object moving with a constant negative
acceleration and a positive velocity ?

Accepted Answer

Given that,
acceleration (a) = $$-$$ C (constant)
$$	herefore\,\,\,$$ $${{dv} \over {dt}}$$ = $$-$$ c
$$ \Rightarrow $$$$\,\,\,$$ $${{dv} \over {dx}}$$ . $${{dx} \over {dt}}$$ = $$-$$ c
$$ \Rightarrow $$$$\,\,\,$$ $$\upsilon $$ $${{dv} \over {dx}}$$ = $$-$$ c
$$ \Rightarrow $$$$\,\,\,$$ $$\int {v\,dv} $$ = $$-$$ c$$\int {dx} $$
$$ \Rightarrow $$$$\,\,\,$$ $${{{v^2}} \over 2}$$ = $$-$$ cx + k
$$ \Rightarrow $$$$\,\,\,$$ x = $$-$$ $${{{v^2}} \over {2c}}$$ + $${k \over c}$$
From this equation we can say option (c) is the correct graph.

Answer

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Answer

Answer

Motion in 1D

Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?

Choose the correct answer: