Respuesta :
Answer:
The time taken by engine of the car to accelerate is 3.24 seconds
Step-by-step explanation:
Given as :
The mass of the car = 1200 kg
The Force applied by engine to accelerate = 10, 000 N
The change in velocity = [tex]v_2[/tex] - [tex]v_1[/tex] = 27 m/s
Let The time taken by engine = t sec
And Let The acceleration = a m/s²
Now,
∵ Force is define as the product of mass and acceleration
I.e F = mass × acceleration
or, F = 1200 × a
or, 10,000 = 1200 × a
∴ a = [tex]\frac{10,000}{1200}[/tex] m/s²
I.e a = 8.33 m/s²
Now , Again
∵ Acceleration is define as the rate of change of velocity
I.e a = [tex]\dfrac{v_2-v_1}{t}[/tex]
or, a = [tex]\dfrac{27-0}{t}[/tex]
Or, t = [tex]\dfrac{27}{a}[/tex]
I.e t = [tex]\dfrac{27}{8.33}[/tex]
∴ t = 3.24 sec
So, The time taken = 3.24 seconds
Hence The time taken by engine of the car to accelerate is 3.24 seconds . Answer
