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A body that starts from rest moves to the right with an acceleration of 4 m/s2.

1. What is its velocity after 3s?
2. What is the distance covered after 3s? 3. What is the velocity of the body after it has travelled 20 m? ​


Sagot :

  • initial velocity=u=0m/s
  • Acceleration=a=4m/s^2

Solution:-1

  • Time=t=3s
  • Final velocity=v=?

According to 1st equation of kinematics

[tex]\boxed{\sf v=u+at}[/tex]

[tex]\\ \sf\longmapsto v=0+4(3)[/tex]

[tex]\\ \sf\longmapsto v=12m/s[/tex]

Solution:-2

  • Distance=s=?

According to second equation of kinematics

[tex]\boxed{\sf s=ut+\dfrac{1}{2}at^2}[/tex]

[tex]\\ \sf\longmapsto s=0(3)+\dfrac{1}{2}\times 4\times 3^2[/tex]

[tex]\\ \sf\longmapsto s=2+9[/tex]

[tex]\\ \sf\longmapsto s=11m[/tex]

Solution:-3

  • initial velcity=u=12m/s
  • Distance=s=20m
  • Final velocity=v

According to third equation of kinematics

[tex]\boxed{\sf v^2-u^2=2as}[/tex]

[tex]\\ \sf\longmapsto v^2-(12)^2=2(20)(4)[/tex]

[tex]\\ \sf\longmapsto v^2-144=160[/tex]

[tex]\\ \sf\longmapsto v^2=160+144[/tex]

[tex]\\ \sf\longmapsto v^2=304[/tex]

[tex]\\ \sf\longmapsto v=\sqrt{304}[/tex]

[tex]\\ \sf\longmapsto v=17.3m/s[/tex]