🤓 Based on our data, we think this question is relevant for Professor Rybolt's class at KSU.

In this problem, we are required to calculate the **time elapsed** before a __decelerating__ object comes to rest and the** distance covered** before stopping given its __initial velocity__,** v _{0}** and the

This is a Kinematics problem since it involves **initial velocity**, **v _{0}**,

We'll follow the following simple steps!

- Identify the
**target variable**,**knowns**, and Unknowns for each part of the problem—remember that only**3**of the**5**variables (Δx, v_{0}, v_{f}, a, and t) are needed to solve any kinematics problem. __Choose a UAM equation__with**only one unknown**, which should be our**target variable**.__Solve the equation__for the target variable, then__substitute known values__and__calculate__the answer.

We need to remember the four kinematic equations in order to solve the problem. These are:

$\overline{){{\mathit{v}}}_{{\mathit{f}}}{\mathbf{=}}{{\mathit{v}}}_{{\mathbf{0}}}{\mathbf{+}}{\mathit{a}}{\mathit{t}}\phantom{\rule{0ex}{0ex}}{\mathit{\Delta}}{\mathit{x}}{\mathbf{=}}{\mathbf{\left(}}\frac{{\mathit{v}}_{\mathit{f}}\mathbf{+}{\mathit{v}}_{\mathbf{0}}}{\mathbf{2}}{\mathbf{\right)}}{\mathit{t}}\phantom{\rule{0ex}{0ex}}{\mathit{\Delta}}{\mathit{x}}{\mathbf{=}}{{\mathit{v}}}_{{\mathbf{0}}}{\mathit{t}}{\mathbf{+}}\frac{\mathbf{1}}{\mathbf{2}}{\mathit{a}}{{\mathit{t}}}^{{\mathbf{2}}}\phantom{\rule{0ex}{0ex}}{{{\mathit{v}}}_{{\mathit{f}}}}^{{\mathbf{2}}}{\mathbf{=}}{{{\mathit{v}}}_{{\mathbf{0}}}}^{{\mathbf{2}}}{\mathbf{+}}{\mathbf{2}}{\mathit{a}}{\mathit{\Delta}}{\mathit{x}}}$

A certain jet comes in for a landing on solid ground with a speed of 100 m/s and its acceleration can have a maximum magnitude of 5.00 m/s^{2} as it comes to rest.

(a) From the instant the jet touches the runway what is the minimum time interval needed before it can come to rest?

(b) Can this jet land at a small tropical island airport where the runway is 0.800 km long?