(part 1 of 2)

A cheetah can run at a maximum speed 92.8 km/h and a gazelle can run at a maximum speed of 76.2 km/h. If both animals are running at full speed, with the gazelle 65.8 m ahead, how long before the cheetah catches its prey? Answer in units of s.

(part 2 of 2)

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.

A jet airliner moving initially at 909 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 706 mph in a direction 38 north of east. What is the new speed of the aircraft with respect to the ground? Answer in units of mph.