6. tamari was driving in a car and came to a stop. if her initial acceleration was 42 m/s, and her…

6. tamari was driving in a car and came to a stop. if her initial acceleration was 42 m/s, and her acceleration was -7 m/s², how long did it take to come to a stop?

6. tamari was driving in a car and came to a stop. if her initial acceleration was 42 m/s, and her acceleration was -7 m/s², how long did it take to come to a stop?

Answer

Explanation:

Step1: Identify the relevant formula

We use the formula $v = v_0+at$, where $v$ is the final - velocity, $v_0$ is the initial velocity, $a$ is the acceleration, and $t$ is the time. When the car comes to a stop, $v = 0$. The initial acceleration given seems to be an error, we assume it's initial velocity $v_0 = 42$ m/s and $a=-7$ m/s².

Step2: Rearrange the formula for time

From $v = v_0+at$, we can solve for $t$: $t=\frac{v - v_0}{a}$.

Step3: Substitute the values

Substitute $v = 0$, $v_0 = 42$ m/s, and $a=-7$ m/s² into the formula: $t=\frac{0 - 42}{-7}$.

Step4: Calculate the time

$t=\frac{- 42}{-7}=6$ s.

Answer:

6 s