A cheetah runs a distance of 97 m at a speed of 26 m/s and then runs another 97 m in the same direction at a speed of 34 m/s. What is the cheetah's average speed?
___m/s
Vavg = (26 m/s + 34 m/s) / 2 = 3o m/s.
To find the average speed, we need to calculate the total distance covered by the cheetah and divide it by the total time taken.
First, let's calculate the time taken to run the first distance of 97 m.
Time = Distance / Speed = 97 m / 26 m/s = 3.73 s (rounded to 2 decimal places)
Next, let's calculate the time taken to run the second distance of 97 m.
Time = Distance / Speed = 97 m / 34 m/s = 2.85 s (rounded to 2 decimal places)
Now, let's find the total time taken by summing up the time taken for each distance.
Total time = 3.73 s + 2.85 s = 6.58 s (rounded to 2 decimal places)
Finally, let's calculate the average speed.
Average speed = Total distance / Total time = (97 m + 97 m) / 6.58 s = 29.46 m/s (rounded to 2 decimal places)
Therefore, the cheetah's average speed is approximately 29.46 m/s.
To find the average speed of the cheetah, we can use the formula:
Average Speed = Total Distance / Total Time
First, let's calculate the total distance the cheetah ran. The cheetah ran a distance of 97 m in the first leg and 97 m in the second leg, so the total distance is 97 m + 97 m = 194 m.
Next, let's calculate the total time it took for the cheetah to cover the total distance. We will use the formula:
Time = Distance / Speed
For the first leg, Time1 = 97 m / 26 m/s.
For the second leg, Time2 = 97 m / 34 m/s.
Now, let's add the two times together to find the total time taken:
Total Time = Time1 + Time2
Finally, we can substitute the values into the formula for average speed:
Average Speed = Total Distance / Total Time
Substituting the known values:
Total Distance = 194 m
Total Time = Time1 + Time2
Time1 = 97 m / 26 m/s
Time2 = 97 m / 34 m/s
Now, plug these values into the formula to find the average speed of the cheetah.