Question

1. a race car accelerates from 0 m/s to 30.0 m/s with a displacement of 45.0 m. what is the vehicles acceleration? clear all 2.00 m/s² 15.0 m/s² 5.00 m/s² 10.0 m/s²

Explanation:

Step1: Identify the kinematic - equation

We use the equation $v^{2}=v_{0}^{2}+2ax$, where $v$ is the final velocity, $v_{0}$ is the initial velocity, $a$ is the acceleration and $x$ is the displacement.

Step2: Substitute the given values

Given $v_{0} = 0\ m/s$, $v = 30.0\ m/s$ and $x=45.0\ m$. Substituting into the equation $v^{2}=v_{0}^{2}+2ax$, we get $(30.0)^{2}=0^{2}+2a\times45.0$.

Step3: Solve for acceleration $a$

First, simplify the equation: $900 = 90a$. Then, solve for $a$ by dividing both sides by 90. So, $a=\frac{900}{90}=10.0\ m/s^{2}$.

Answer:

$10.0\ m/s^{2}$