Question

A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it. Is your friend correct?For the antelope to not be safe, the cheetah would have to maintain top speed for about seconds. Round to the nearest tenth.

Answer 1

No, the friend is wrong. If the cheetah is running at 90 f/s and the antelope is 650 feet in front of it, it would take the cheetah 7.2 seconds to reach the antelope, leaving the cheetah with 12.8 seconds of top speed left. Therefore, the cheetah would have to maintain top speed for 7.2 seconds.

Answer 2

Answer:

Your friend is not correct.

It takes the cheetah Approximately 21.67 second running at 90 ft/s to reach the moving antelope.

Step-by-step explanation:

Consider the provided information.

A cheetah can run at top speed for only about 20 seconds and the top speed of cheetah is 90 feet per second

That means in 20 second cheetah will cover a distance of:

20 × 90 = 1800 feet

In 20 seconds cheetah will cover a distance of 1800 feet.

It is given that the antelope runs 60 feet per sec

That means in 20 second antelope will cover a distance of:

20 × 60 = 1200 feet

In 20 second antelope will cover a distance of 1200 feet.

Now add the distance ran initially, because the antelope was ahead of the cheetah from 650 feet.

1200 feet + 650 feet = 1850 feet

But the maximum distance cheetah can cover is 1850 feet. Thus the antelope is still 50 ft ahead of the cheetah.

Therefore, the antelope is probably safe.

Hence, Your friend is not correct.

The speed of cheetah is 30 feet per second more that antelope.

Cheetah need to cover 50 feet to catch antelope.

$\frac{50}{30} = 1.67$

20 seconds + 1.67 second = 21.67 seconds

Thus, it takes the cheetah Approximately 21.67 second running at 90 ft/s to reach the moving antelope.