Question

Rocket-powered sleds are used to test the human response to acceleration. If a rocket-powered sled is accelerated from rest to a speed of 444 m/s in 1.83 seconds, then what is the acceleration?x = Question Blank 1 of 6AnswerVi = Question Blank 2 of 6AnswerVf = Question Blank 3 of 6Answera = Question Blank 4 of 6Answert = Question Blank 5 of 6AnswerWhich equation should be used?Question Blank 6 of 6Answer

Answer 1

To solve for the acceleration of the rocket-powered sled, you can use the following kinematic equation:

\[
a = \frac{{V_f - V_i}}{{t}}
\]

where:
- \( a \) is the acceleration,
- \( V_f \) is the final velocity,
- \( V_i \) is the initial velocity,
- \( t \) is the time.

Now, let’s fill in the specific values:

1. **Initial velocity (\( V_i \))**: Since the sled starts from rest, \( V_i = 0 \, \text{m/s} \).
2. **Final velocity (\( V_f \))**: This is given as \( 444 \, \text{m/s} \).
3. **Time (\( t \))**: The duration of acceleration is given as \( 1.83 \, \text{s} \).

### Step 1: Calculate acceleration (\( a \))

Substituting the values into the equation:

\[
a = \frac{{444 \, \text{m/s} - 0 \, \text{m/s}}}{{1.83 \, \text{s}}}
\]
\[
a = \frac{{444}}{{1.83}}
\]
\[
a \approx 242.62 \, \text{m/s}^2
\]

### Summary of Answers:
- **Question Blank 1 ( \( x \) )**: \( 444 \, \text{m/s} \) (final speed)
- **Question Blank 2 ( \( V_i \) )**: \( 0 \, \text{m/s} \) (initial velocity)
- **Question Blank 3 ( \( V_f \) )**: \( 444 \, \text{m/s} \) (final velocity)
- **Question Blank 4 ( \( a \) )**: \( \approx 242.62 \, \text{m/s}^2 \) (acceleration)
- **Question Blank 5 ( \( t \) )**: \( 1.83 \, \text{s} \) (time)
- **Question Blank 6 (Which equation should be used?)**: \( a = \frac{{V_f - V_i}}{{t}} \)