Question
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
A. 2.3 cm/s
B. 43 cm/s
C. 1.4 cm/s
D. 24 cm/s
Answers
GPT-4o mini
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**
\[
\text{Mean Velocity} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
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**