Question

a car accelerates with 3m/s after start,then find the displacement of car in 2 seconds​

Answer 1

Answer:

$\Large{\boxed{\underline{\overline{\mathfrak{\star \: Question :- \: \star}}}}}$

A car accelerates with 3m/s after start,then find the displacement of car in 2 seconds.

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

$\underline{\boxed{\textsf{D = {\textbf{12 m}}}}} \qquad\qquad \bigg\lgroup\bold{Height \ and \ Displacement \ of \ the \ Car} \bigg\rgroup$

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

➹ Acceleration of the car = 3 m/s²

➹ Initial Velocity (u) = 0 (car starts from rest)

➹ Time taken by the car = 2 seconds

$\Large{\underline{\underline{\bf{Find:-}}}}$

✦ Find the displacement of the car.

$\Large{\underline{\underline{\bf{Solution:-}}}}$

➹ Firstly, we have to find the final velocity of the car

So, we consider ,

the final velocity of the car be 'v' m/s

To find the final velocity of the car, we use the first equation of motion:-

$\Large{\boxed{\bf{\star \: v = u + at \: \star}}}$

As according to the given :-

On putting the given values in the formula, we get

$\sf{\longmapsto v = 0 + 3 \times 2}$

$\sf{\longmapsto v = 0 + 6 }$

$\bf{\longmapsto v = 6 \: m/s }$

$\large{\boxed{\bold{Final\: velocity\:=\:v\:=\:6\:m/s}}}$

Now , In order to find the displacement .

Let the displacement of the car be 'D' m

We know that the formula for finding the displacement of the car is:-

$\large{\boxed{\bf{\star \: VELOCITY = \dfrac{DISPLACEMENT}{TIME} \: \star}}}$

According to question:-

$\sf{\longmapsto 6 = \dfrac{D}{2}}$

$\sf{\longmapsto 6 \times 2 = D }$

$\bf{\longmapsto 12 \: m = D }$

$\large{\boxed{\bold{Displacement\:of\:car\:=\:D\:=\:12\:m}}}$

★ What is Displacement ?

The word displacement implies that an object has moved, or has been displaced. Displacement is defined to be the change in position of an object.

★ How to calculate Displacement ?

Displacement can be calculated by measuring the final distance away from a point, and then subtracting the initial distance. Displacement is key when determining velocity (which is also a vector). Velocity = displacement/time whereas speed is distance/time.

★ What is Velocity ?

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

Velocity defines the direction of the movement of the body or the object.

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