Question

Que 16​:

16. The distance covered by a body is directly proportional to the square of time. Is the body moving with uniform velocity or uniform acceleration? ​

Answer 1

Dear student ,
when the distance travelled by a body is directly proportional to the square of the time then the body has non uniform motion .

$$\begin{gathered} heredis\tan ces\propto t^2 \\ \Rightarrow s=k{t}^2 \\ wherekisproportionalitycons\tan t \\ Sovelocityis,v=\frac{ds}{dt}=2kt \\ acceleration,a=\frac{dv}{dt}=k=cons\tan t \end{gathered}$$
Regards