MCQ
A car accelerates from rest at a constant rate $\alpha $ for some time, after which it decelerates at a constant rate $\beta $ and comes to rest. If the total time elapsed is $t$, then the maximum velocity acquired by the car is
- A$\left( {\frac{{{\alpha ^2} + {\beta ^2}}}{{\alpha \beta }}} \right)\,t$
- B$\left( {\frac{{{\alpha ^2} - {\beta ^2}}}{{\alpha \beta }}} \right)\,t$
- C$\frac{{(\alpha + \beta )\,t}}{{\alpha \beta }}$
- ✓$\frac{{\alpha \beta \,t}}{{\alpha + \beta }}$
