Question

a cyclist gets on her bike and takes 4.0 s to get to her top speed of 12 m/s. what is her acceleration? answer:____ m/s

Explanation:

Step1: Recall the acceleration formula

Acceleration \(a=\frac{v - u}{t}\), where \(v\) is final velocity, \(u\) is initial velocity, and \(t\) is time.

Step2: Identify the values

The cyclist starts from rest, so \(u = 0\space m/s\), \(v=12\space m/s\), and \(t = 4.0\space s\).

Step3: Substitute values into the formula

\(a=\frac{12 - 0}{4.0}\)

Step4: Calculate the acceleration

\(a=\frac{12}{4.0}=3.0\space m/s^{2}\)

Answer:

\(3.0\)