A two buses... | RECTILINEAR MOTION

JEE-MAIN 2022

25-06-2022 S2

Question

Two buses $P$ and $Q$ start from a point at the same time and move in a straight line and their positions ar represented by $\mathrm{X}_{\mathrm{P}}(\mathrm{t})=\alpha \mathrm{t}+\beta \mathrm{t}^2$ and $\mathrm{X}_{\mathrm{Q}}(\mathrm{t})=\mathrm{ft}-\mathrm{t}^2$. At what time, both the buses have same velocity?

Select the correct option:

$\frac{\alpha-f}{1+\beta}$

$\frac{\alpha+f}{2(\beta-1)}$

$\frac{\alpha+f}{2(1+\beta)}$

$\frac{f-\alpha}{2(1+\beta)}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution