Numericals on Equations of Motion

1. An object starts from rest and accelerates at 2 m/s² for 5 seconds. Calculate its final velocity.

2. A car accelerates from 20 m/s to 30 m/s in 4 seconds. What is its acceleration?

3. A stone is dropped from a height of 100 meters. Calculate the time it takes to reach the ground.

4. A train is moving at a constant speed of 72 km/h. How long will it take to cover a distance of 360 kilometers?

5. A rocket accelerates from rest at a rate of 30 m/s² for 10 seconds. What is the final velocity of the rocket, and how far has it traveled during this time?

6. An object is thrown vertically upward with an initial velocity of 15 m/s. Calculate the time it takes for the object to reach its maximum height.

Equations of Motion: Derivations and Examples

Equations of Motion was given by Sir Issac Newton; who is considered the father of mechanics. He was the first to give the fundamental physical laws that deal with objects and their motion. He formulated three equations of motion of an object and published them in his book Philosophiae Naturalis Principia Mathematica, which is considered the starting point in the history of classical mechanics. 

Table of Content

  • What are Equations of Motion?
  • Derivation of Equations of Motion
  • Solved Examples on Equations of Motion
  • Numericals on Equations of Motion
  • FAQs

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What are Equations of Motion?

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Derivation of Equations of Motion

In the year 1687, Sir Issac Newton published his book, and in his book, he wrote about his understanding of motion in the physical world as Newton’s Law of Motion. These laws alongside the Equations published gave the world an understanding of the motion of objects as well as their intersection with each other....

Solved Examples on Equations of Motion

We can derive the equation of motion by using three methods, which are as follows:...

Numericals on Equations of Motion

Example 1: Mahesh throws the ball in the horizontal direction. If the ball travels 60 meters in 4 seconds they calculate the acceleration....

FAQs on Equations of Motion

1. An object starts from rest and accelerates at 2 m/s² for 5 seconds. Calculate its final velocity....