A car accelerates from rest at a constant rate \( \alpha \) for P some time after which it decel...
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0A car accelerates from rest at a constant rate \( \alpha \) for
P some time after which it decelerates at a constant
W rate \( \beta \) to come to rest. If the total time elapsed is \( t \) seconds, the total distance travelled is:
(A) \( \frac{4 \alpha \beta}{(\alpha+\beta)} t^{2} \)
(B) \( \frac{2 \alpha \beta}{(\alpha+\beta)} t^{2} \)
(C) \( \frac{\alpha \beta}{2(\alpha+\beta)} t^{2} \)
(D) \( \frac{\alpha \beta}{4(\alpha+\beta)} t^{2} \)
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