Question

kinematics quiz a
write down given information. show what equations you are using. show all work.

1. (35 points) a bicyclist accelerates uniformly from rest for 750.0 meters at a rate of +0.525 m/s². what was the bicyclists final velocity?

Explanation:

Step1: Identify the kinematic - equation

The kinematic equation $v^{2}=v_{0}^{2}+2ax$ is used. Here, $v_{0} = 0\text{ m/s}$ (starts from rest), $a=0.525\text{ m/s}^2$, and $x = 750.0\text{ m}$.

Step2: Substitute the values

Substitute $v_{0}=0$, $a = 0.525$, and $x=750$ into the equation $v^{2}=v_{0}^{2}+2ax$. We get $v^{2}=0 + 2\times0.525\times750$.

Step3: Calculate $v^{2}$

$v^{2}=2\times0.525\times750=787.5$.

Step4: Solve for $v$

Take the square - root of both sides: $v=\sqrt{787.5}\text{ m/s}\approx28.06\text{ m/s}$.

Answer:

$v = \sqrt{787.5}\text{ m/s}\approx 28.06\text{ m/s}$