Acheetah can run at a maximum speed 97.8 km/h and a gazelle can run at a maximum speed of 78.2 km/h. if both animals are running at full speed, with the gazelle 96.8 m ahead, how long before the cheetah catches its prey? answer in units of s. the cheetah can maintain its maximum speed for only 7.5 s. what is the minimum distance the gazelle must be ahead of the cheetah to have a chance of escape? (after 7.5 s the speed of cheetah is less than that of the gazelle.) answer in units of m.

(1)

Cheetah speed:

Its position at time t is given by

(1)

Gazelle speed:

the gazelle starts S0=96.8 m ahead, therefore its position at time t is given by

(2)

The cheetah reaches the gazelle when . Therefore, equalizing (1) and (2) and solving for t, we find the time the cheetah needs to catch the gazelle:

(2) To solve the problem, we have to calculate the distance that the two animals can cover in t=7.5 s.

Cheetah:

Gazelle:

So, the gazelle should be ahead of the cheetah of at least

float.

archimedes' principle

denser than water sinks in water.

denser than mercury would sink in it