Question

if a body starting from rest acquires a velocity of 24m/s in 4sec its accelation is​

Answer 1

✬ Acceleration = 6 m/s² ✬

Explanation:

Given:

• A body started from rest (u) = 0 m/s
• Body reached 24 m/s (v)
• Time take to attain final velocity is 4 seconds

To Find:

• What is the acceleration of body ?

Formula to be used:

• First law of motion
• v = u + at

Solution: Here we have

• v = 24 m/s
• t = 4 sec
• u = 0 m/s
• a = ?

Putting the values on formula

$\implies{\rm }$ v = u + at

$\implies{\rm }$ 24 = 0 + a $\times$ 4

$\implies{\rm }$ 24 = 4a

$\implies{\rm }$ 24/4 = a

$\implies{\rm }$ 6 = a

Hence, the acceleration of the body is 6 m/s².

_______________

★ By another method ★

Using a =(v – u/t)

$\implies{\rm }$ a = (24 – 0/4)

$\implies{\rm }$ a = 24/4

$\implies{\rm }$ a = 6 m/s².

Acceleration is 6 m/s².

Answer 2

Answer

• Acceleration ,a = 6 m/s²

Given

• A body starting from rest acquires a velocity of 24 m/s in 4 sec

To Find

• Acceleration , a

Solution

Initial velocity , u = 0 m/s [ Starting from rest ]

Final velocity , v = 24 m/s

Time , t = 4 s

Acceleration , a = ? m/s²

Use 1st equation of motion .

⇒ v = u + at

⇒ 24 = 0 + a ( 4 )

⇒ 24 = 4a

⇒ 4a = 24

⇒ a = 6 m/s²

More Info

Equations of motion :

• v = u + at
• s = ut + ¹/₂ at²
• v² - u² = 2as
• Sₙ = u + ᵃ/₂ [ 2n - 1 ]