How long after Car B started the race wil Car B catch up with Car A?…
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Question “How long after Car B started the race wil Car B catch up with Car A?…”
Answer
Part A.
The Initial distance between Car A (and Car B) is D A. This means that Car A is closer to car B.
Car A is moving at the constant speed of v A
Car B is moving at the constant speed of v B
The moment car B captures car A is now.
Distance traveled by car = Distance between Car A and Car A + Distance traveled by Car A
d = D a +d a
We now know that distance equals speed*time. Let’s say car B catches car A in “t catch” time. Then in this time
d = v *t
d A = *t catch
So,
vB*tcatch = + DA
t catch* (v B– v A) =D A
t catch =D A/(v B – v A)
Part B.
When car B passes car, the distance from Car A’s starting line to Car B will be d .
d = v *t
dB = VB*DA/ (vB – A)
Conclusion
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