A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rate β to come to rest. If the total time elapsed is t, the maximum velocity acquired by the car is given by:
1
\(\left(\dfrac{\alpha^2 + \beta^2}{\alpha \beta}\right)t\)
2
\(\left(\dfrac{\alpha^2 - \beta^2}{\alpha \beta}\right)t\)
3
\(\left(\dfrac{\alpha + \beta}{\alpha \beta}\right)t\)
4
\(\left(\dfrac{\alpha\beta}{\alpha +\beta}\right)t\)