Question

A cheetah can run at approximately 100 km/hr and a gazelle at 80.0 km/hr. If both animals are running at fullspeed, with the gazelle 70.0 m ahead, how long before the che

Answer 1

Answer:

12.6 seconds

Explanation:

With respect to the gazelle, the cheetah has a relative speed of 100 - 80 = 20 km/hr.

We convert from km/hr to m/s.

$\dfrac{20000\text{ m}}{3600\text{ s}} = \dfrac{50}{9}\text{ m/s}$

At this relative speed, the cheetah will overtake the gazelle in time t given by

$v= \dfrac{d}{t}$

d is the distance and v is the relative speed.

$t = \dfrac{d}{v} = \dfrac{70.0}{50/9} = 12.6\text{ s}$