Rain falls vertically downward at speed V. A car has initial horizontal speed u and constant horizontal acceleration a. If θ(t) is the angle made by the rain streaks with the horizontal on its vertical windshield at time t, then:
Options

Question

Rain falls vertically downward at speed V. A car has initial horizontal speed u and constant horizontal acceleration a. If θ(t) is the angle made by the rain streaks with the horizontal on its vertical windshield at time t, then:

Options

G1 Physics · Accepted Answer

At time t, the car speed is u + at. In the car frame, the rain has horizontal component u + at and vertical component V. Since θ is measured from the horizontal, tanθ = V/(u + at). Hence option B is correct.