A cheetah runs a distance of 101 m at a speed of 24 m/s and then runs another 101 m in the same direction at a speed of 38 m/s. What is the cheetah's average speed?
find total time
101/24 + 101/38
find total distance
101 + 101
average speed = total distance/ total time
76
To find the average speed of the cheetah, you need to calculate the total distance traveled and the total time taken.
The total distance traveled by the cheetah is the sum of the distances covered at each speed. In this case, the cheetah runs 101 m and then runs another 101 m, so the total distance is 101 m + 101 m = 202 m.
To calculate the total time taken, you can use the formula:
time = distance / speed.
For the first stage, where the cheetah runs 101 m at a speed of 24 m/s:
time1 = 101 m / 24 m/s = 4.2 s (rounded to one decimal place).
For the second stage, where the cheetah runs 101 m at a speed of 38 m/s:
time2 = 101 m / 38 m/s = 2.7 s (rounded to one decimal place).
The total time taken is the sum of these two times:
total time = time1 + time2 = 4.2 s + 2.7 s = 6.9 s (rounded to one decimal place).
Finally, you can calculate the average speed using the formula:
average speed = total distance / total time.
average speed = 202 m / 6.9 s = 29.28 m/s (rounded to two decimal places).
Therefore, the cheetah's average speed is approximately 29.28 m/s.