Question

-In the equation of motion, $S = ut + \dfrac{1}{2}a{t^2}$, S stands for
A. Displacement int seconds
B. Maximum height reached
C. Distance in the second
D. None of these

Answer 1

This question is based on Newton’s equations of motion. There are three equations of motion given by Newton, Which establish a relationship between initial velocity, final velocity, distance covered, acceleration, and time of the moving body.

Complete step by step answer:
Given:
In this question, there is an equation given and as we know that the Newton’s equation of motion. Newton’s equations of motion are the fundamental of physics. Without the equations, we are not able to solve many real life problems as well. These equations give us the relationship among various parameters of a moving body. And along with Newton's law of motion the Newton's equation is very advantageous in solving the problems. Newton’s equations are as follows -
$v = u + at\\\ s = ut + \dfrac{1}{2}a{t^2}\\\ {v^2} = {u^2} + 2as$
Where,
$u =$ initial velocity
$v =$ final velocity
$s =$ distance covered
$t =$ time
$a =$ acceleration

So from the above discussion, we can say that there is Newton’s 2nd equation given in the question. This equation establishes the relationship between the distance covered by the body to the time consumed, acceleration, and initial velocity of the moving body. By the use of the 2nd equation of motion, we can calculate the distance “s” covered by a moving object with an acceleration “a”, initial velocity “u” in the given time “t”.

So, the correct answer is “Option C”.

Note:
Newton's law of motion gave us the qualitative picture of a moving body and its characteristics. Still, by using Newton’s equation, we can find out the value of different parameters. Sometimes there can be a mistake in the representation of the various symbols so we should always use the standard notation of different parameters for better understanding.