A ball is positioned at the top of a 77.4 cm long ramp. After being released, it takes 1.8 seconds to reach the ramp's bottom. What was the ball's mean velocity while descending the ramp?

A. 2.3 cm/s
B. 43 cm/s
C. 1.4 cm/s
D. 24 cm/s

1 answer

To find the mean velocity of the ball while descending the ramp, we can use the formula for mean velocity:

\[ \text{Mean Velocity} = \frac{\text{Total Distance}}{\text{Total Time}} \]

In this case, the total distance is the length of the ramp, which is 77.4 cm, and the total time is 1.8 seconds.

Substituting the values:

\[ \text{Mean Velocity} = \frac{77.4 , \text{cm}}{1.8 , \text{s}} \approx 43 , \text{cm/s} \]

Thus, the ball's mean velocity while descending the ramp is:

\[ \text{Mean Velocity} \approx 43 , \text{cm/s} \]

The correct answer is: B. 43 cm/s