Question

If $v = u + at$ then $t$ =?

Answer 1

Hint: Motion is the process in which an object changes its location over time, as described by physics. Displacement, distance, momentum, inertia, speed, and time are all mathematical concepts used to describe motion. A frame of reference is attached to an observer, and the transition in location of the body relative to that frame is measured as time passes. Kinematics is the branch of physics that studies the motion of particles without regard to their cause; dynamics is the branch that studies forces and their impact on motion.

Complete step by step answer:
Kinematics equations explain the fundamental principle of mass motion, such as the direction, velocity, and acceleration of an object at different moments. The motion of an object in 1D, 2D, and 3D is governed by these three equations of motion. One of the most important subjects of Physics is the derivation of the equations of motion. We'll teach you how to derive the first, second, and third equations of motion using the graphical, algebraic, and calculus methods in this article.

In physics, equations of motion are equations that explain a physical system's behaviour in terms of its motion as a function of time.Components such as displacement(s), velocity (initial and final), time(t), and acceleration can be calculated using three equations of motion (a).

The three equations of motion are as follows:
First Equation of Motion: \[v = u + at\]
Second Equation of Motion: $s = ut + \dfrac{1}{2}a{t^2}$
Third Equation of Motion: ${v^2} = {u^2} + 2as$
Derivation of first law of motion: we realise that the rate in change in velocity is the definition of body acceleration.
$a = \dfrac{{v - u}}{t}$
Acceleration is interpreted mathematically as follows. The final velocity is v, and the original velocity is $u$. We will get the first equation of motion by rearranging the above equation:
\[v = u + at\]
Here, $t$ is the time period, $u$ is initial velocity, $a$ is acceleration and $v$ is the final velocity.
Upon rearranging for t we get
$\therefore t = \dfrac{{v - u}}{a}$

Note: There are two types of motion descriptions: dynamics and kinematics. Since the momenta, forces, and energy of the particles are taken into consideration, dynamics is broad. In this case, the term dynamics can refer to both the system's differential equations (such as Newton's second law or the Euler–Lagrange equations) and the solutions to those equations.