Question

If acceleration of a body starting from the rest is 0.5m/s^2 how long will it take the body to travel 400m(if u are genius answer this)​

Answer 1

`\huge\boxed{\sf t = 40\ seconds}`

Step-by-step explanation:

Given data:

Acceleration = a = 0.5 m/s²

Initial Velocity = Vi = 0 m/s

Distance = S = 400 m

Required:

Time = t = ?

Formulas used:

2 formulas

• Third Equation of motion (2as = Vf²-Vi²)
• First Equation of motion (Vf = Vi + at)

Solution:

Using third equation of motion firstly

2as = Vf²-Vi²

2(0.5)(400) = Vf² - 0²

400 = Vf²

Taking sqrt

Vf = 20 m/s

Now, Using First equation of motion:

Vf = Vi + at

20 = 0 + 0.5t

0.5 t = 20

Divide both sides by 0.5

t = 40 seconds

`\rule[225]{225}{2}`

Hope this helped!

~AH1807