turners treadmill runs with a velocity of 120 cm/s and speeds up at regular intervals during a half hour workout. After 25 seconds, the treadmill has velocity of 6.5 m/s. what is the avg acceleration of the treadmill during this period ?
a = change in velocity / change in time
= (6.5 -1.2)/25
0.0035
To find the average acceleration of the treadmill, we need to use the formula:
Average Acceleration = (Final Velocity - Initial Velocity) / Time
1. Convert the initial velocity to meters per second:
The initial velocity is given as 120 cm/s. To convert this to m/s, divide by 100:
Initial Velocity = 120 cm/s / 100 = 1.2 m/s
2. Convert the time to seconds:
The time is given as 25 seconds, so no conversion is necessary.
3. Convert the final velocity to meters per second:
The final velocity is given as 6.5 m/s, which is already in m/s.
4. Calculate the average acceleration:
Average Acceleration = (Final Velocity - Initial Velocity) / Time
Average Acceleration = (6.5 m/s - 1.2 m/s) / 25 s
Now we can calculate the average acceleration of the treadmill.