AP EAPCET 05-Jul-2022 Shift 1 Paper

Let v be the minimum velocity of student so, that he could catch the busIf student catch the bus in time t, then distance travelled by student in time t =16+ distance travelled by bus in time t.
‌⇒vt=16+(ut+‌

1

2

at2)
‌⇒vt=16+0×t+‌

1

2

×9×t2
The above equation must have real roots. i.e its discriminant ≥0
i.e (2v)2−4×9×32≥0
⇒4v2−4×288≥0⇒v2−288≥0
⇒v2≥288.
v≥12√2m∕ s
Minimum velocity of student to catch the bus
‌=12√2m∕ s=α√2m/ s‌ (given) ‌
‌∴α=12
‌