A car accelerates from rest at a constant rate \( \alpha \) for some time after which it deceler... VIDEO
A car accelerates from rest at a constant rate \( \alpha \) for some time after which it decelerates at a constant 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) \( \frac{\alpha \beta}{4(\alpha+\beta)} t^{2} \)
(d) \( \frac{\alpha \beta}{2(\alpha+\beta)} t^{2} \)
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