Question
An object initially traveling at a velocity of 20.0 meters per second undergoes uniform acceleration for 5.0 seconds, reaching a final velocity of 50.0 meters per second. What is the object's acceleration?(1 point)
Responses
10.0 m/s2
10.0 m/s 2
4.0 m/s2
4.0 m/s 2
14 m/s2
14 m/s 2
6.0 m/s2
Responses
10.0 m/s2
10.0 m/s 2
4.0 m/s2
4.0 m/s 2
14 m/s2
14 m/s 2
6.0 m/s2
Answers
GPT-4o mini
To determine the object's acceleration, we can use the formula for acceleration:
\[
a = \frac{{v_f - v_i}}{{t}}
\]
Where:
- \( a \) is the acceleration
- \( v_f \) is the final velocity
- \( v_i \) is the initial velocity
- \( t \) is the time period
Given:
- \( v_f = 50.0 \, \text{m/s} \)
- \( v_i = 20.0 \, \text{m/s} \)
- \( t = 5.0 \, \text{s} \)
Plugging in the values:
\[
a = \frac{{50.0 \, \text{m/s} - 20.0 \, \text{m/s}}}{{5.0 \, \text{s}}}
\]
\[
a = \frac{{30.0 \, \text{m/s}}}{{5.0 \, \text{s}}} = 6.0 \, \text{m/s}^2
\]
Thus, the object's acceleration is \( 6.0 \, \text{m/s}^2 \).
The correct response is **6.0 m/s²**.
\[
a = \frac{{v_f - v_i}}{{t}}
\]
Where:
- \( a \) is the acceleration
- \( v_f \) is the final velocity
- \( v_i \) is the initial velocity
- \( t \) is the time period
Given:
- \( v_f = 50.0 \, \text{m/s} \)
- \( v_i = 20.0 \, \text{m/s} \)
- \( t = 5.0 \, \text{s} \)
Plugging in the values:
\[
a = \frac{{50.0 \, \text{m/s} - 20.0 \, \text{m/s}}}{{5.0 \, \text{s}}}
\]
\[
a = \frac{{30.0 \, \text{m/s}}}{{5.0 \, \text{s}}} = 6.0 \, \text{m/s}^2
\]
Thus, the object's acceleration is \( 6.0 \, \text{m/s}^2 \).
The correct response is **6.0 m/s²**.