Question

3. A cheetah is known to be the fastest mammal on Earth, at least for short

Answer 1

Answers:

a) 198,55 s

b) 4687.98 m

Explanation:

a) Speed $v$ is defined as the variation of the position (distance traveled $d$)of a body or object with time $t$:

$v=\frac{d}{t}$ (1)

We are told the cheetah runs a distance of  $d=5.50(10)^{2}m=550m$ with a speed $v=10\frac{km}{h}=2.77\frac{m}{s}$ (Knowing $1km=1000m$ and $1h=3600s$), and we need to find the time it takes to travel that distance.

This means we have to find $t$ from (1):

$t=\frac{d}{v}$ (2)

$t=\frac{550m}{2.77\frac{m}{s}}$ (3)

$t=198.55s$ (4)

b) Now, if we want to know the distance the cheetah will cover with $v=85\frac{km}{h}=23.61\frac{m}{s}$ in $t=198.55s$, we have to isolate $d$ from (1):

$d=v.t$ (5)

$d=(23.61\frac{m}{s})(198.55s)$ (6)

Finally:

$d=4687.98m$