Question

1. while traveling along a highway, a driver slows from 24 m/s to 15 m/s in 12 seconds the automobiles acceleration?
2. identify the numbers in the problem and what you are looking for.
3. highlight the formula you will use to solve the problem.
4. plug the numbers into the formula with the correct unit in its proper location.
5. solve for the missing variable.
6. round and circle your answer.

$a = \frac{v_f - v_i}{t}$
$t = \frac{v_f - v_i}{a}$
$v_f = at + v_i$
$v_i = v_f -$

Explanation:

Step1: Identify the formula

The formula for acceleration \(a=\frac{v_f - v_i}{t}\) is used, where \(v_f = 15\ m/s\), \(v_i=24\ m/s\), and \(t = 12\ s\).

Step2: Substitute the values

Substitute the values into the formula: \(a=\frac{15 - 24}{12}\).

Step3: Calculate the numerator

Calculate \(15-24=-9\). So the formula becomes \(a=\frac{-9}{12}\).

Step4: Simplify the fraction

Simplify \(\frac{-9}{12}\) by dividing both numerator and denominator by 3. \(\frac{-9\div3}{12\div3}=\frac{- 3}{4}=-0.75\ m/s^{2}\).

Answer:

\(-0.75\ m/s^{2}\)