Questions: ¿Cuál es la velocidad del libro después de caer? 0.90 s ? Supongamos que el sistema de coordenadas es positivo. Redondee la respuesta a dos digitos significativos.
Transcript text: ¿Cuál es la velocidad del libro después de caer? 0.90 s ? Supongamos que el sistema de coordenadas es positivo. Redondee la respuesta a dos digitos significativos.
Solution
Solution Steps
Step 1: Identify the Known Variables
We are given the time \( t = 0.90 \) seconds. We need to find the velocity of the book after it has fallen for this duration. Assuming the book is in free fall, the only force acting on it is gravity.
Step 2: Use the Equation of Motion for Free Fall
The velocity of an object in free fall can be calculated using the equation:
\[
v = g \cdot t
\]
where \( g \) is the acceleration due to gravity, approximately \( 9.81 \, \text{m/s}^2 \).
Step 3: Calculate the Velocity
Substitute the known values into the equation:
\[
v = 9.81 \, \text{m/s}^2 \times 0.90 \, \text{s} = 8.829 \, \text{m/s}
\]
Step 4: Round the Answer to Two Significant Digits
Round \( 8.829 \, \text{m/s} \) to two significant digits:
\[
v \approx 8.8 \, \text{m/s}
\]
Final Answer
The velocity of the book after falling for 0.90 seconds is \(\boxed{8.8 \, \text{m/s}}\).