Answer:
Approximately 1.722 m/s.
Explanation:
To find the final velocity of the monkey, we can use the equation of motion that relates initial velocity, final velocity, acceleration, and distance traveled.
1. Given values:
Initial velocity (Vi) = 1.24 m/s
Distance traveled (d) = 6.71 m
Time taken (t) = 4.55 s
2. Calculate the acceleration (a):
\( a = \frac{2(d - Vit)}{t^2} \)
\( a = \frac{2(6.71 - 1.24 \times 4.55)}{4.55^2} \)
\( a ≈ \frac{2(6.71 - 5.63)}{20.60} \)
\( a ≈ \frac{2 \times 1.08}{20.60} \)
\( a ≈ \frac{2.16}{20.60} \)
\( a ≈ 0.1058252 \, m/s^2 \)
3. Find the final velocity (Vf) using the equation:
\( Vf = Vi + at \)
\( Vf = 1.24 + 0.1058252 \times 4.55 \)
\( Vf ≈ 1.24 + 0.482 \)
\( Vf ≈ 1.722 \, m/s \)
Therefore, the final velocity of the monkey is approximately 1.722 m/s.
