JEE PYQ: Motion In One Dimension Question 3
Question 3 - 2021 (17 Mar Shift 1)
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:
(1) $\frac{4\alpha\beta}{(\alpha+\beta)},t^2$
(2) $\frac{2\alpha\beta}{(\alpha+\beta)},t^2$
(3) $\frac{\alpha\beta}{2(\alpha+\beta)},t^2$
(4) $\frac{\alpha\beta}{4(\alpha+\beta)},t^2$