Question

A car can achieve a speed of 100 km per hour in 5 second what is its acceleration​

Answer 1

Answer:

it is write because here distance is 100 km

Answer 2

• Speed of the car, v = 100 km/hr.

The SI unit of speed is m/s.

So convert km/hr into m/s.

$1 \: \dfrac{km}{hr} = \dfrac{5}{18} \: \dfrac{m}{s} \\ \\ 100 \: \dfrac{km}{hr} = 100 \times \dfrac{5}{18} \: \dfrac{m}{s} \\ \\ v = \dfrac{100}{18} \times 5\: \dfrac{m}{s} \\ \\ = \frac{50}{9} \times 5\: \dfrac{m}{s} \\ \\ v = \frac{250}{9} \: \dfrac{m}{s}$

• Time, t = 5 sec

Acceleration = speed /time

a = v/t

$a = \dfrac{ \dfrac{250}{9} }{5} \\ \\ = \dfrac{250}{9 \times 5} \\ \\ = \dfrac{250}{5} \times \dfrac{1}{9} \\ \\ = \dfrac{50}{9} \\ \\ a = 5.56 \: \dfrac{m}{ {s}^{2} }$

The acceleration of the car is 5.56 m/s².