Calculate Acceleration: From 5.5m/s to 9m/s Over 32 Meters

To find the acceleration of an object, you can use the formula:

acceleration = (final velocity - initial velocity) / time

However, you are given the distance instead of the time. To calculate the time, you can use the formula:

distance = (initial velocity + final velocity) / 2 * time

Rearranging the formula, you get:

time = 2 * distance / (initial velocity + final velocity)

Plugging in the given values:

distance = 32 m initial velocity = 5.5 m/s final velocity = 9 m/s

time = 2 * 32 / (5.5 + 9) = 64 / 14.5 ≈ 4.41 seconds

Now, you can use the calculated time in the acceleration formula:

acceleration = (final velocity - initial velocity) / time = (9 - 5.5) / 4.41 = 3.5 / 4.41 ≈ 0.79 m/s²

Therefore, the acceleration of the object is approximately 0.79 m/s².