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Equation Of Motions - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:23 PM | #NEET

Quick Facts

  • Equation of motions is considered one the most difficult concept.

  • 41 Questions around this concept.

Solve by difficulty

A particle has an initial velocity 3\hat{i}+4\hat{j} and an acceleration of 0.4\hat{i}+0.3\hat{j}. Its speed after 10s is

A projectile is given an initial velocity of \left ( \hat{i}+2\hat{j} \right )m/s , where \hat{i} is along the ground and \hat{j} is along the vertical. If g = 10m/s2, the equation of its trajectory is :

A train is standing on a platform, and a man inside a compartment of a train drops a stone. At the same instant train starts to move with constant acceleration. The path of the particle as seen by the person who drops the stone is :

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S1 and that covered in the first 20 seconds is S2, then:

Concepts Covered - 1

Equation of motions

There are three equations of motion

  1. 1st Equation of motion or velocity time equation

 Formula

             V=u+at

V = Final velocity

u = Initial velocity

A = acceleration

             T = time

 

  1. 2nd Equation of Position time equation

Formula

s= ut +\frac{1}{2}at^{2}

s\rightarrow Displacement

u\rightarrowInitial velocity

a\rightarrowacceleration

t\rightarrow time


 

  1. 3rd Equation of Velocity –displacement equation

Formula

V^{2}-u^{2}=2as

V\rightarrow Final Velocity

s\rightarrow Displacement

u\rightarrowInitial velocity

a\rightarrowacceleration

  • Displacement in nth second

  • Formula

S_{n}= u+\frac{a}{2}(2n-1)

Where u= Initial velocity

a= uniform acceleration

n= second

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Equation of motions

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