Question

a cyclist is riding along a flat, straight, smooth bike path. the cyclist has a mass of 70.0 kg. their bike is made of carbon fiber and has a mass of 7.30 kg. they can accelerate from rest to approximately 1.70 m/s in about a minute. 12. the cyclist accelerates at a rate of -0.10 m/s². if their initial velocity is 1.5 m/s, how much time will it take them to stop? (show work in your response)

Explanation:

Step1: Identify the formula

Use the kinematic equation \(v = v_0+at\). We need to solve for \(t\), so the formula becomes \(t=\frac{v - v_0}{a}\).

Step2: Substitute the values

Given \(v = 0\) (final velocity when stopped), \(v_0=1.5\ m/s\) (initial velocity), and \(a=- 0.10\ m/s^{2}\) (acceleration).
Substitute into the formula: \(t=\frac{0 - 1.5}{-0.10}\).

Step3: Calculate the time

\(t=\frac{-1.5}{-0.10}=15\ s\).

Answer:

\(15\ s\)