Question

if the coef The maximum acceleration on the car without causing the cup to slide is 2.1 m/s squared what is the smallest amount of time in which the person can accelerate The car from rest to 23 m/s and still keep the coffee cup on the roof

Answer 1

We will have the following:

We will determine the minimum time it would take as follows:

$\begin{gathered} (\frac{23m/s-0m/s}{t})=2.1m/s\Rightarrow t=\frac{23m/s-0m/s}{2.1m/s} \\ \\ \Rightarrow t=\frac{230}{21}s\Rightarrow t\approx10.95s \end{gathered}$

So, the minimum time will be approximately 10.95 seconds.