Kinematics Solved Examples
Example 1: For the time span t = 7s, an automobile with a beginning velocity of zero accelerates uniformly at 16 m/s2. Do you know how far it’s travelled?
Solution:
Given: t = 7s, v0 = 0 m/s, a = 16 m/s2
Since,
[Tex]s=v_{0}t+\frac{1}{2}at^{2}[/Tex]
s = 0 × 7 + (1/2) × 16 × 72
= (1/2) × 16 × 49
= 8 × 49
= 392 m
Example 2: A bicycle with initial velocity 2 experiences a uniform acceleration of 20 m/s2 for the time interval 6s. Determine its Final velocity?
Solution:
Given: v0 = 2 m/s, a = 20 m/s2, t = 6s
Since,
[Tex]v=v_{0}+at[/Tex]
v = 2 + 20 × 6
= 122 m/s
Example 3: Assume that the initial velocity is 0 and the final velocity is 5 for the time interval 4s then find its displacement?
Solution:
Given: v0 = 0 m/s, v = 5 m/s, t = 4s
Since,
[Tex]\Delta{x}=(\frac{v+v_{0}}{2})t[/Tex]
Δx = (5+0) × 4
= 20 m
Example 4: Truck with initial velocity is zero, constant acceleration is 6 m/s2, and time interval is 3s. Find the Final velocity?
Solution:
Given: v0 = 0 m/s, a = 6 m/s2, t = 3s
Since,
[Tex]v=v_{0}+at[/Tex]
= 0 + 6 × 3
= 18 m/s
Kinematics | Definition, Formula, Derivation, Problems
Kinematics is the study of motion of points, objects, and systems by examining their motion from a geometric perspective, without focusing on the forces that cause such movements or the physical characteristics of the objects involved. This study area uses algebra to create mathematical models that describe these motions, essentially treating it as the mathematics behind how things move.
Kinematics is a field of classical mechanics that deals with the motion of points, objects, and systems of objects. Kinematics is sometimes referred to as “motion geometry” by some professionals. Let’s have a look at the formula for kinematics.
In this article, we shall learn about kinematics, which is the study of motion, along with its formulas, derivation of kinematics formula, examples and others in detail.
Table of Content
- What is Kinematics?
- Kinematics Definition
- Kinematic Formulas
- Derivation of Kinematic Formulas
- Derivation of First Kinematic Formula
- Derivation of Second Kinematic Formula
- Derivation of Third Kinematic Formula
- Derivation of Fourth Kinematic Formula
- Kinematics Solved Examples
- Practice Problems on Kinematics