# A bicyclist starts from rest and accelerates at 4.0 m/s2 for 3.0s . The cyclist then travels for...

## Question:

A bicyclist starts from rest and accelerates at 4.0 m/s2 for 3.0s. The cyclist then travels for the 20s at a constant speed. How far does the cyclist travel?

## Uniform Motion and Motion with Constant Acceleration

Uniform motion is the motion in which the object is moving with constant velocity. The displacement of a object in uniform motion is given by, {eq}x = vt {/eq}, where

• v is the constant velocity
• t is the time interval of the motion.

The displacement of a motion with constant acceleration is given by, {eq}x = v_i t + \dfrac{1}{2}at^2 {/eq}, where

• a is the constant acceleration
• {eq}v_i {/eq} is the initial velocity
• t is the time interval of the motion.

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Given :

The initial velocity of the bicyclist is, {eq}v_i = 0 {/eq}

The initial acceleration of the bicyclist is, {eq}a = 4 \ m/s^2 {/eq}

The...

Five Kinematics Quantities & the Big 5 Equations

from

Chapter 7 / Lesson 3
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Kinematic quantities are calculated using the 'big 5' equations that explain a motion in constant acceleration, when in a straight line. Learn each of these variables and how they fit into example calculations provided.