A police jeep moves at constant speed v while chasing a dacoit on a motorcycle. When the dacoit is a distance x ahead, he starts from rest with constant acceleration a. Which condition allows the police to catch him?
Options

Question

A police jeep moves at constant speed v while chasing a dacoit on a motorcycle. When the dacoit is a distance x ahead, he starts from rest with constant acceleration a. Which condition allows the police to catch him?

Options

G1 Physics · Accepted Answer

Catch equation is (1/2)at²-vt+x=0. A real positive meeting time requires discriminant v²-2ax≥0. Therefore v²≥2ax. Option C.