Derivatives : Displacement, Velocity and Acceleration
Not what you're looking for?
A car brakes in an emergency, the moment the brakes are first applied is t=0. the car's distance, s, from the point at which the brakes were first applied is given by:
S = -0.1t^3 + 20t + 0.1
(i) Differentiate s to find formulae for the velocity and acceleration.
(ii) Find the time at which the car comes to a stop.
(iii) How far does the car travels before it comes to a stop.
(iv) What does the mathematical model say will happen to the car after it comes to a stop? What will actually happen? Why are the two different?
Please see the attached file for the fully formatted problems.
Purchase this Solution
Solution Summary
A car brakes in an emergency, the moment the brakes are first applied is t=0. the car's distance, s, from the point at which the brakes were first applied is given by:
S = -0.1t^3 + 20t + 0.1
A range of questions are solved related to this function (see below)
All solutions are provided with workings.
Solution Preview
Hi there :)
Here is your solution (i've assumed the units are seconds and metres as they're not in the question, so if you know different please alter them) ...
Purchase this Solution
Free BrainMass Quizzes
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
The Moon
Test your knowledge of moon phases and movement.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.
Intro to the Physics Waves
Some short-answer questions involving the basic vocabulary of string, sound, and water waves.
Basic Physics
This quiz will test your knowledge about basic Physics.