Question

ariana is accelerating her car at a rate of 4.6 m/s² for 10 seconds. her starting velocity was 0 m/s. what was her final velocity?
○ 0 m/s
○ 2.3 m/s
○ 4.6 m/s
○ 46 m/s

Explanation:

Step1: Recall the formula for final velocity

The formula for final velocity \( v \) when there is constant acceleration is \( v = u + at \), where \( u \) is the initial velocity, \( a \) is the acceleration, and \( t \) is the time.

Step2: Identify the given values

We are given that \( u = 0 \, \text{m/s} \), \( a = 4.6 \, \text{m/s}^2 \), and \( t = 10 \, \text{s} \).

Step3: Substitute the values into the formula

Substitute \( u = 0 \), \( a = 4.6 \), and \( t = 10 \) into \( v = u + at \):
\( v = 0 + (4.6 \times 10) \)

Step4: Calculate the result

\( 4.6 \times 10 = 46 \), so \( v = 46 \, \text{m/s} \).

Answer:

46 m/s (corresponding to the option: 46 m/s)