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.

Answer and Explanation: 1

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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...

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Five Kinematics Quantities & the Big 5 Equations

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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.


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