Question

a vehicle accelerates with 0.4 m/s. calculate tue time taken by the vehicle to increase its speed from 20m/s to 40m/s.​

Answer 1

`\huge\boxed{\sf t = 50 \ seconds}`

Step-by-step explanation:

Given data:

Acceleration = a = 0.4 m/s²

Initial Speed =
`V_i` = 20 m/s

Final Speed =
`V_f` = 40 m/s

Required:

Time = t = ?

Formula:

`\displaystyle a =(V_f-V_i)/(t)`

Solution:

Rearranging formula for t

`\displaystyle t =(V_f-V_i)/(a) \\\\t = (40-20)/(0.4) \\\\t = (20)/(0.4) \\\\\boxed{t = 50 \ seconds}\\\\\rule[225]{225}{2}`

Answer 2

50 seconds

Step-by-step explanation:

Equation used :

v = u + at

Given :

⇒ a = 0.4 m/s²

⇒ u = 20 m/s

⇒ v = 40 m/s

Solving :

⇒ 40 = 20 + 0.4t

⇒ 0.4t = 20

⇒ t = 20/0.4

⇒ t = 50 seconds