A car accelerates with 4m/s after start,then find the displacement of

1.	A car accelerates with 4m/s after start,then find the displacement of car in 2 seconds
Answer» <U>GIVEN: Acceleration of the car = 4 m/s² Initial Velocity (u) = 0 (car starts from rest) Time taken by the car = 2 seconds TO FIND: What is the DISPLACEMENT of the car ? SOLUTION: Firstly, we have to find the final velocity of the car Let 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:- $\Large{\boxed{\bf{\star \: v = u + at \: \star}}}$ According to question:- On putting the given values in the formula, we get $\sf{\longmapsto v = 0 + 4 \times 2}$ $\sf{\longmapsto v = 0 + 8 }$ $\bf{\longmapsto v = 8 \: m/s }$ Final velocity = v = 8 m/s 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:- $\sf{\longmapsto 8 = \dfrac{D}{2}}$ $\sf{\longmapsto 8 \times 2 = D }$ $\bf{\longmapsto 16 \: m = D }$ Displacement = D = 16 m ❝ Hence, the displacement of the car is 16 m ❞ ______________________

A car accelerates with 4m/s after start,then find the displacement of car in 2 seconds

Answer»

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

Let 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:-

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

According to question:-

On putting the given values in the formula, we get

$\sf{\longmapsto v = 0 + 4 \times 2}$

$\sf{\longmapsto v = 0 + 8 }$

$\bf{\longmapsto v = 8 \: m/s }$

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:-

$\sf{\longmapsto 8 = \dfrac{D}{2}}$

$\sf{\longmapsto 8 \times 2 = D }$

$\bf{\longmapsto 16 \: m = D }$

❝ Hence, the displacement of the car is 16 m ❞