Calculate the acceleration of a ball that starts from rest, rolls down a ramp, and gains a speed of 24m/sm/s in 5.8 seconds.

a = 24/5.8 = 4.14 m/s^2.

To calculate the acceleration of the ball, you can use the following formula:

acceleration = (final velocity - initial velocity) / time

Given:
Initial velocity (u) = 0 m/s (as the ball starts from rest)
Final velocity (v) = 24 m/s
Time (t) = 5.8 seconds

Using the formula,

acceleration = (24 m/s - 0 m/s) / 5.8 seconds
= 24 m/s / 5.8 seconds
= 4.14 m/s^2 (rounded to two decimal places)

Therefore, the acceleration of the ball is approximately 4.14 m/s^2.

To calculate the acceleration, we can use the equation for acceleration:

acceleration (a) = (final velocity (v) - initial velocity (u)) / time (t)

In this case, the initial velocity (u) is 0 m/s because the ball starts from rest. The final velocity (v) is 24 m/s, and the time (t) is 5.8 seconds.

Now, substitute these values into the equation:

acceleration (a) = (24 m/s - 0 m/s) / 5.8 s

Simplifying the equation:

acceleration (a) = 24 m/s / 5.8 s

Now, divide 24 by 5.8:

acceleration (a) = 4.138 m/s²

Therefore, the acceleration of the ball is approximately 4.138 m/s².