The position of a particle is given by the equation s(t)=10t^2−20 /3 t^3−5/4 t^4+t^5 where t is measured in seconds and s in meters. When is the particle moving forward? When is the particle moving backward? Draw a diagram to represent the motion of the particle. Find the total distance traveled by the particle during the first four seconds.

The position of a particle is given by the equation s(t)=10t^2−20 /3 t^3−5/4 t^4+t^5 where t is measured in seconds and s in meters. When is the particle moving forward? When is the particle moving backward? Draw a diagram to represent the motion of the particle. Find the total distance traveled by the particle during the first four seconds.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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Question

The position of a particle is given by the equation

s(t)=10t^2−20 /3 t^3−5/4 t^4+t^5

where t is measured in seconds and s in meters.

When is the particle moving forward?

When is the particle moving backward?

Draw a diagram to represent the motion of the particle.

Find the total distance traveled by the particle during the first four seconds.

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