a car travelling with a speed of 2 metre per second increases its speed to 10 metre per second in time interval of 4 second what is acceleration of car
Answers
Answer:
2 m/s²
Explanation:
Given :
- Initial velocity = u = 2 m/s
- Final velocity = v = 10 m/s
- Time = 4 seconds
To find :
- Acceleration of the car with the above information
Acceleration = (final velocity - Initial velocity) / time
So it can also be written as:
Acceleration = (v-u) / t
Acceleration = (10-2)/4
Acceleration = (8)/4
Acceleration = 2 m/s²
The acceleration of the car is equal to 2 m/s²
- Acceleration is a vector quantity
- Acceleration's unit is m/s²
Explanation :
Car travelling with initial speed of 2m/s increases speed to 10 m/s in 4 seconds.
What is acceleration of car?
Here,
□ Initial speed (u) = 2 m/s
□ Final speed (v) = 10 m/s
□ Time (t) = 4 seconds.
We will use 1st equation of motion :
⇒ v = u + at
⇒ 10 = 2 + a × 4
⇒ 10 - 2 = 4a
⇒ 8 = 4a
⇒ a = 8/4
⇒ a = 2 m/s²
∴ Acceleration of car = 2 ms-²
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★ Equations of motion :
⇒ v = u + at -(eq.1)
⇒ s = ut + ½ at² -(eq.2)
⇒ v² - u² = 2as -(eq.3)
When a body goes upwards,
⇒ Acceleration = Gravitational acceleration
⇒ g = -10 m/s²
When a body comes downwards,
⇒ g = 10 m/s²