Question

How long will the ball take to reach its starting point if the Initial velocity of ball $u=+8 m/s$ ? (in seconds)
A. 1.5
B. 1.6
C. 1
D. 2

Answer 1

Motion is the phenomena in which an item changes its location over time, as defined by physics. Displacement, distance, velocity, acceleration, speed, and time are all mathematical words used to describe motion. In physics, motion is defined as a change in the position or orientation of a body over time. The term "translation" refers to movement along a straight line or a curve. Rotation is a type of motion in which a body's orientation is changed.

Complete step by step answer:
Kinematics equations represent the fundamental idea of object motion, such as the location, velocity, and acceleration of an item at different intervals. The motion of an object in 1D, 2D, and 3D is governed by these three equations of motion. One of the most significant subjects in 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 describe a physical system's behaviour in terms of its motion as a function of time.

Components like displacement(s), velocity (initial and final), time(t), and acceleration may all be calculated using one of three motion equations (a). The three equations of motion are the following: $v = u + at$ is the first law of motion. Here the initial velocity is $+ 8 m/s$. Because the ball returns to its original position, its speed is equal to its initial speed but in the opposite direction. Here the final velocity is $- 8 m/s$. Let the acceleration be $- 10\;{\text{m/}}{{\text{s}}^{ - 2}}$.
Using $v = u + gt$
Hence
$- 8 = 8 - 10t$
$\Rightarrow 10t= 16$
$\Rightarrow t = \dfrac{{16}}{{10}}$
$\therefore t = 1.6\,s$

Hence option C is correct.

Note: Equations of motion are physics equations that describe a physical system's behaviour in terms of its motion as a function of time. The equations of motion, more particularly, explain the behaviour of a physical system as a collection of mathematical functions expressed in terms of dynamic variables. Typically, these variables are geographic coordinates and time, but they may also incorporate momentum components.