# A particle moves along a straight line with an equation of motion s = f ( t ) , where s is...

## Question:

A particle moves along a straight line with an equation of motion {eq}s = f(t) {/eq}, where s is measured in meters and t in seconds. Find the velocity and the speed when {eq}t = (4.43) f(t) = 80t - 6t^2 {/eq}

## Velocity and the Speed of a Particle:

If the equation {eq}x=f(t) {/eq} represent the motion of a particle along a straight line then the velocity {eq}(v) {/eq} of the particle is given by:

{eq}v= \frac{dx}{dt} {/eq}

The speed of the particle is the magnitude of the velocity. The units of {eq}x {/eq} and {eq}t {/eq} are meter and second respectively.

Become a Study.com member to unlock this answer!

The equation of motion of a particle that moves along a straight line is given as:

{eq}s = f(t) {/eq},

where {eq}s {/eq} is measured in meters and... Speed and Velocity: Concepts and Formulas

from

Chapter 4 / Lesson 1
163K

Study the speed and velocity definitions and compare speed vs. velocity to note the difference. Understand how to calculate velocity and speed using the formulas.