Find the mean time for each ramp length
Mean 3.6s
Find the ball's acceleration for each mean time using the equation below where D is distance or ramp length and T is time
Acceleration=2D/T^2
1.5m(Distance) Use 3.6
a = 2 (1.5)/3.6^2
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To find the acceleration for a ramp length of 1.5m using the mean time of 3.6 seconds, we can substitute the values into the equation:
Acceleration = 2 * Distance / Time^2
Acceleration = 2 * 1.5m / (3.6s)^2
First, let's calculate the time squared:
Time^2 = 3.6s * 3.6s = 12.96s^2
Now, we can substitute the values back into the equation:
Acceleration = 2 * 1.5m / 12.96s^2
Dividing the distance by the time squared:
Acceleration = 0.231m / s^2
Therefore, the acceleration for a ramp length of 1.5m based on the mean time of 3.6 seconds is 0.231 m/s^2.