Question

A cheetah, the fastest animal can achieve a peak value of velocity $100\mathrm{km}/\mathrm{h}$ up to a distance less than $500\mathrm{m}$. If a cheetah spots his prey at a distance of $100\mathrm{m}$, what is the minimum time it will take to get its prey?

Answer 1

Step 1: Given

Velocity $=100km/h$ ,Distances = $500meters$.

Step 2: Finding time
We know,

$$\begin{gathered} Dis\tan ce=speed\times time \\ S=v\times t \\ t=\frac{s}{v} \end{gathered}$$

Where, V = velocity, s = distance and t = time
$V=100\frac{\mathrm{km}}{\mathrm{h}}$
$=\frac{100\times 1000\mathrm{m}}{3600\mathrm{s}}$
$=27.7\mathrm{m}/\mathrm{s}$
Distance, $s=100\mathrm{m}$
Minimum time, $t=\frac{s}{v}=\frac{100}{27.7}=3.6\sec$
Thus, The minimum time it will take to get it's prey is $3.6$ second.