Answer to Question #96342 in Mechanics | Relativity for Maria

Question

If both animals are running at full speed,
with the gazelle 55.1 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Answer 1

The speed of cheetah:

$$v_c=90.5\frac{km}{h}=\frac{90.5}{3.6}\frac{m}{s}$$

The speed of gazelle:

$$v_g=74.7\frac{km}{h}=\frac{74.7}{3.6}\frac{m}{s}$$

The time will be

$$t=\frac{d}{v_c-v_g}=\frac{(55.1)(3.6)}{90.5-74.7}=12.6\ s$$