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