A cheetah can maintain its maximum speed of 29.5 m/s for only 35.3 seconds. What is the maximum distance a gazelle running at 26.2 m/s must be ahead of the cheetah to have a chance of escaping?
for 35.3 seconds
distance gazelle=26.2*35.3 meters
distance cheeta=29.5*35.3 meters
difference= 35.3*(3.3) meters
To find the maximum distance a gazelle must be ahead of the cheetah to have a chance of escaping, we need to calculate how far the cheetah can run in 35.3 seconds while maintaining its maximum speed.
The formula to calculate distance is:
Distance = Speed × Time
For the cheetah, its speed is 29.5 m/s and the time is 35.3 seconds.
Distance = 29.5 m/s × 35.3 s
Calculating this gives us:
Distance = 1038.35 meters
Therefore, the cheetah can run a maximum distance of 1038.35 meters in 35.3 seconds.
Now we need to determine how far the gazelle must be ahead of the cheetah to have a chance of escaping. Since the gazelle runs at a speed of 26.2 m/s, it will cover a distance equal to the speed of the cheetah during the time the cheetah takes to cover the maximum distance.
Distance covered by the gazelle = Speed of the gazelle × Time taken by the cheetah
Distance covered by the gazelle = 26.2 m/s × 35.3 s
Calculating this gives us:
Distance covered by the gazelle = 923.86 meters
Therefore, the gazell must be at least 923.86 meters ahead of the cheetah to have a chance of escaping.