plese solve the above questions it's urgent please
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Answers
ExPlanation:
From question we have,
- Speed of A = 36 km/h = 10 m/s
- Speed of B & C = 54 km/h = 15 m/h
[Note: I have converted them in m/s because we need to find acceleration which is in m/s², so anyway if you will not convert it here, you will have to futher on]
Now,
You see, A & C will come together at a point B must have its speed higher than of A & C;
- Speed of A & C combined = 10 + 15 = 25 m/s
From question, I know there must be 1 km of distance between A & C, so time taken:
- Time = Distance/Speed
- Time = 1000/25 [ 1km = 1000 m]
- Time = 40 sec
So, yeah B must have a speed so as it can overtake A within 40 sec, but wait whatt about the distance?? there you go;
- Distance = Time × Speed
- Distance = 10 × 40
- Distance = 400 m
{If u are confused why have I taken speed as 40? then gurI, remember B has to take over A right, so we will see the distance covered on the basis of A only}
And after this much huge calculation, atlast we can say that the distance B has to cover is,
- Distance = [Distance between B & A] + [Distance A will cover after those 40 sec]
- Distance = 1000 + 400
- Distance = 1400 m
Don't loose patience, we are just done, so I have d,s,u of B so yeah! You guessed it right we will use 2nd equation if motion:
- S = ut + ½at²
- 1400 = 15 × 40 + ½ × a × (40)²
- 1400 = 600 + 800a
- 1400 - 600 = 800a
- 800 / 800 = a
- 1 m/s² = a
Therefore, finally Car B has to make a minimum acceleration of 1m/s² to overtake Car A.
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