Question

if the velocity of a car moving with uniform velocity changes from 30 m/s to 60 m/s in 5s. what is the displacement by the car during this time interval?​

Answer 1

Answer:

225m

Explanation:

it is down below in the image

mark me as brainliest please

Answer 2

Answer :-

225m

Explanation :-

Given :

Initial velocity of the car,u => 30m/s

Final velocity of the car,v => 60m/s

Time taken,t = ?

To Find :

Displacement by the car during this time interval.s = ?

Solution :

According to the second law of motion,

$\boxed{\sf{s=ut+\dfrac{1}{2}at^2}}$

here,

s is the displacement,

u is the initial velocity,

t is the time and,

a is the acceleration.

We don’t know accceleration so let’s find out it’s acceleration,

According to the first equation of motion,

$\boxed{\sf{v=u+at}}$

$\sf{}:\implies 60=30+a\times 5$

$\sf{}:\implies 60=30+5a$

$\sf{}:\implies 60-30=5a$

$\sf{}:\implies 30=5a$

$\sf{}:\implies \dfrac{20}{5}=a$

$\sf{}\therefore a=6$

Displacement,

$\sf{}:\implies s=30\times 5+\dfrac{1}{2}\times 6\times 5^2$

$\sf{}:\implies s=150+75$

$\sf{}:\implies s=150+75$

$\sf{}\therefore s=150+75$

$\sf{}\therefore s=225m$

Therefore,displacment is equal to 225m