a car traveling at a speed of 24 m/s comes to a stop at a red light. how much time will it take for the car…

a car traveling at a speed of 24 m/s comes to a stop at a red light. how much time will it take for the car to stop if its acceleration is -8.0 m/s²?\n3 s\n16 s\n32 s\n192 s

a car traveling at a speed of 24 m/s comes to a stop at a red light. how much time will it take for the car to stop if its acceleration is -8.0 m/s²?\n3 s\n16 s\n32 s\n192 s

Answer

Answer:

A. 3 s

Explanation:

Step1: Identify the kinematic - equation

We use the equation $v = v_0+at$, where $v$ is the final velocity, $v_0$ is the initial velocity, $a$ is the acceleration, and $t$ is the time.

Step2: Rearrange the equation for time

Given $v = 0$ (the car stops), $v_0=24\ m/s$, and $a=- 8.0\ m/s^2$. Rearranging $v = v_0+at$ for $t$ gives $t=\frac{v - v_0}{a}$.

Step3: Substitute the values

Substitute $v = 0$, $v_0 = 24\ m/s$, and $a=-8.0\ m/s^2$ into the formula: $t=\frac{0 - 24}{-8}=\frac{-24}{-8}=3\ s$.