Question

a uniformly accelerated body travels 40 m in 4 second 60 m in 6 second find out the initial velocity and acceleration. ​

Answer 1

Given :

In 1st case :

Distance travelled = 40m

Time taken = 4sec

In 2nd case :

Distance travelled = 60m

Time taken = 6sec

To find :

The initial velocity and acceleration

Solution :

If the body is uniformly accelerated then acceleration of the body is zero.

Using second equation of kinematics that is,

s = ut + 1/2at²

where,

• s denotes distance travelled
• u denotes initial velocity
• t denotes time taken
• a denotes acceleration

Substituting all the given values in the equation,

➛ s = ut + 1/2at²

➛ 40 = u(4) + 1/2(0)(4)²

➛ 40 = 4u + 0

➛ 40 = 4u

➛ u = 40/4

➛ u = 10 m/s

Thus, acceleration of the body is zero since it is uniformly accelerated and initial velocity is 10m/s.

$\:$

Know more :

1st equation of kinematics : v = u + at

2nd equation of kinematics : s = ut + 1/2at²

3rd equation of kinematics : v² = u² - 2as

Answer 2

Given :

In 1st case :

Distance travelled = 40m

Time taken = 4sec

In 2nd case :

Distance travelled = 60m

Time taken = 6sec

To find :

The initial velocity and acceleration

Solution :

If the body is uniformly accelerated then acceleration of the body is zero.

Using second equation of kinematics that is,

s = ut + 1/2at²

where,

s denotes distance travelled

u denotes initial velocity

t denotes time taken

a denotes acceleration

Substituting all the given values in the equation,

➛ s = ut + 1/2at²

➛ 40 = u(4) + 1/2(0)(4)²

➛ 40 = 4u + 0

➛ 40 = 4u

➛ u = 40/4

➛ u = 10 m/s

Thus, acceleration of the body is zero since it is uniformly accelerated and initial velocity is 10m/s.

$\:$

Know more :

1st equation of kinematics : v = u + at

2nd equation of kinematics : s = ut + 1/2at²

3rd equation of kinematics : v² = u² - 2as