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State true or false.

If $d$ varies directly as $t^{2}$ then we can write $d t^{2} = k$ , where $k$ is some constant.

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True

False

answer is B.

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Detailed Solution

Given,

d

varies directly as

t^{2}

then we can write

d t^{2} = k

, where

k

is some constant.
Using the given information that

d

varies directly as

t^{2}

and hence the ratio of

d

and t² would be constant.

d α t^{2}

\Rightarrow d = k t^{2}

\Rightarrow \frac{d}{t^{2}} = k

Comparing the result with given statement and conclude that the given statement is false.
Correct statement is if d varies directly as t2 then we can write

\frac{d}{t^{2}} = k

.
Correct option is 2.

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