Question

A formula 1 car starting from rest achieve velocity of 396 kilometre per hour in just 20 second find the distance covered in that time interval

Answer 1

Answer :

The distance covered in that time interval is 1100m

Given :

• A formula-1 car starting from rest achieve velocity of 396km/h in 20s .

To Find :

• The distance covered in that time interval

Formulae to be used :

Equations of motion :

$\rm \bullet \: \: v = u + at \\\\ \rm \bullet \: \: v^{2} - u^{2} = 2as$

Solution :

Given ,

initial velocity ,

u = 0 (since the body is initially at rest)

final velocity ,

v = 396km/h

$\rm \implies v = 396 \times \dfrac{5}{18} ms^{-1}\\\\ \rm \implies v = 22 \times 5 ms^{-1}\\\\ \rm \implies v = 110ms^{-1}$

time taken ,

t = 20s

Now using equations of motion :

$\rm \implies v = u + at \\\\ \rm\implies v - u = at \\\\ \rm \implies a = \dfrac{v-u}{t} \\\\ \rm \implies a = \dfrac{110-0}{20} \\\\ \rm \implies a = \dfrac{11}{2}ms^{-2}$

Again we have :

$\rm \implies v^{2} - u^{2} = 2as \\\\ \rm \implies s = \dfrac{v^{2} - u^{2}}{2a} \\\\ \rm \implies s = \dfrac{110^{2} - 0^{2} }{2\times \dfrac{11}{2}} \\\\ \rm \implies s = \dfrac{110 \times 110 }{11} \\\\ \rm \implies s = 10 \times 110 \\\\ \rm \implies s = 1100m$

Thus distance covered in the given time period is 1100m