a car starts from rest and moves with constant acceleration of 4m/s for 30 sec.Then the brakes are applied and the car comes to rest in another 60 sec.find magnitude of reterdation
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thoda roughly krdia.. So, try to understand..
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Given:
Initial velocity, u = 0 (car is at rest initially)
Acceleration of the car, a = 4 m/s²
Time of acceleration, t₁ = 30 s
Time of deceleration, t₂ = 60 s
To Find:
The magnitude of retardation of the car.
Calculation:
- Velocity attained by car in 30 seconds:
v = u + at₁
⇒ v = 0 + 4 × 30
⇒ v = 120 m/s
- For retardation (a'):
- Initial velocity of car = v = 120 m/s
- Final velocity of car, v' = 0
⇒ v' = v + a' × t₂
⇒ 0 = 120 + a' × 60
⇒ a' = - 2 m/s²
- So, the magnitude of retardation of the car is -2 m/s².
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