3. a cheetah is known to be the fastest mammal on earth, at least for short
runs. cheetahs have been observed running a distance of 5.50 x 102 m
with an average speed of 1.00 x 10 km/h.
a. how long would it take a cheetah to cover this distance at this speed?
b. suppose the average speed of the cheetah were just 85.0 km/h.
what distance would the cheetah cover during the same time inter-
val calculated in (a)?

The time taken for the cheetah to cover the distance of 5.50×10² m and the distance covered by the cheetah during the same time interval at an average speed of 85.0 km/h are:

1. The time taken for the cheetah to cover the distance of 5.50×10² m is 197.8 s.

2. The distance covered by the cheetah during the same time interval at an average speed of 85.0 km/h is 4670.06 m.

Average speed is obtained by dividing the total distance by the total time taken to cover the distance.

1. Determination of the time taken for cheetah to cover the distance of 5.50×10² m.

Average speed = 10 Km/h = 10 / 3.6 = 2.78 m/s

Distance = 5.50×10²

Thus, the time taken for cheetah to cover the distance of 5.50×10² m is 197.8 s

2. Determination of the distance covered by the cheetah during the same time interval.

Time = 197.8 s

Average speed = 85 Km/h = 85 / 3.6 = 23.61 m/s

Distance = Average speed × Time

Distance = 23.61 × 197.8

Thus, the distance covered by the cheetah during the same time interval is 4670.06 m

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Answers:

a) 198,55 s

b) 4687.98 m

Explanation:

a) Speed is defined as the variation of the position (distance traveled )of a body or object with time :

(1)

We are told the cheetah runs a distance of   with a speed (Knowing and ), and we need to find the time it takes to travel that distance.

This means we have to find from (1):

(2)

(3)

(4)

b) Now, if we want to know the distance the cheetah will cover with in , we have to isolate from (1):

(5)

(6)

Finally:

low freq = 100 mhz

low wavelength =101.7m

length = 3x10^8/freq

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