THE BRAKES APPLIED TO A CAP PRODUCE A NEGATIVE ACCELLARATION OF 12 MS^-2 . IF THE CAR STOPS AFTER 2 SECONDS , THE INITIAL VELOCITY OF THE CAR IS ? I WILL MARK THE CORRECT AND PROPER EXPLAINED ANSWER AS BRAINLIEST PLEASE ANSWER STEP BY STEP
Answers
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✤ Required Answer:
✒ GiveN:
- Brakes were applied
- Negative acceleration of 12 m/s²
- Car stops in 2 sec
✒ To FinD:
- Find the initial velocity of the car....?
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✤ How to solve?
For solving the above question, we need to know the three equations of, They are:
- v = u + at
- s = ut + 1/2 at²
- v² = u² + 2as
When we have some of the quantities, given in the question and we need to find the other among the above. We can use these equations.
✒ Symbols have their usual meanings.
So, by using these equations, let's solve the equation.
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✤ Solution:
We have,
- a = -12 m/s² [Negative acceleration]
- t = 2 s
[As, brakes are applied finally the vehicle will stop, hence final velocity is equals to 0]
- v = 0 m/s
✒ We need to find initial velocity
By using 1st equation of motion,
➙ v = u + at
➙ 0 = u + (-12)2
➙ 0 = u - 24
➙ u = 24 m/s
✒ Therefore, Initial velocity of the car = 24 m/s
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Answer:
Given :
☞︎︎︎ Final velocity = 0 (car comes to stop)
☞︎︎︎ Retardation = 12 m/s^2 or acceleration= -12m/s^2
☞︎︎︎ Time taken to stop = 2sec
To Find :
❥︎ Initial velocity of the car
Solution :
❦︎ Using first equation of motion:
where,
v refers to Final velocity
u refers to Initial velocity
a refers to acceleration
t refers to time taken
❥︎ putting the values in above equation ,we get :
➪ 0 = u +(-12)*2
➪ 0=u-24
➪ u = 24m/s