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A car moving with uniform acceleration attains speed of 36km/hr in 2 minutes find the acceleration?? ​

Respuesta :

Acceleration = 0.083 m/s²

Explanation:

Given:

Initial velocity of car is 0.

Final velocity of car is 36 km/h.

Time taken to attain final speed is 2 minutes.

To Find:

What is the acceleration of car ?

Formula to be used:

v = u + at

Solution: 

First change the final velocity from km/h to m/s and also time to seconds.

[ To change km/h to m/s multiply by 5/18 ]

➙ Final velocity = 36(5/18) = 10 m/s.

[ 1 minutes = 60 seconds ]

➙ 2 minutes = 2(60) = 120 seconds.

Now, we have

v = 10 m/s.

u = 0 m/s.

t = 120 s.

  • ⟹ v = u + at
  • ⟹ 10 = 0 + a(120)
  • ⟹ 10 = 120a
  • ⟹ 10/120 = a
  • ⟹ 0.083 m/s² = a

Hence, the acceleration of car is 0.083 m/s².

__more____info_____

➟ The rate of change of velocity is called acceleration. It is denoted by a.

➟ The velocity at which motion starts is termed as initial velocity. It is denote by u.

➟ The last velocity of an object after a period of time. It is denoted by v.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

  • Initial Velocity u = 0

  • Final Velocity v = 36 km/hr = 10 m/s

  • Time t = 2 min = 120 sec

  • Acceleration a = ?

By 1st Equation of motion

we know that,

[tex]\boxed{\large{\sf{v \: = u \: + a \: t}}}[/tex]

according to the question,

[tex]10 = 0 + a \times 120\\\\a \: = \frac{10}{120}\\\\a \: = \frac{1}{12}\\\\a=0.083\: m {s}^{ - 2}[/tex]

Therefore,

Acceleration of the car is 0.083 ms^-2