Question

If a car starts from rest and accelerates uniformly, the distance it travels is proportional to the _______of the time it travels

Answer 1

Answer: square

Explanation:$$\begin{lgathered}\dashrightarrow \boxed{\tt{S \: = \: ut \: + \: \dfrac{1}{2} at^2}} \\ \\ \dashrightarrow \tt{S \: = \: 0 \: \times \: t \: + \: \dfrac{1}{2} at^2} \\ \\ \dashrightarrow \tt{S \: = \: 0 \: + \: \dfrac{1}{2} at^2} \\ \\ \dashrightarrow \tt{S \: = \: \dfrac{1}{2} at^2} \\ \\ \dashrightarrow \tt{S \: \propto \: t^2} \\ \\ \sf{Where \: \dfrac{a}{2} \: is \: constant}\end{lgathered}$$