Question

A car travels due east with a speed of 35.0 km/h. Raindrops are falling at a constant speed vertically with respect to the Earth. The traces of the rain on the side windows of the car make an angle of 59.0° with the vertical. Find the velocity of the rain with respect to the following reference frames (a) the car (b) the Earth (a) To solve for the velocity of the rain relative to the car each moving relative to the Earth, we use the analogy of two objects moving relative to the Earth, each with constant velocity. Let vRc be the velocity of the rain relative to the car, RE the velocity of the rain relative to the Earth, and CE the velocity of the car relative to the Earth. Following the pattern of subscripts illustrated in the equation for two objects moving relative to the Earth, AB AE VBE, we find that the velocity of the rain relative to the car is = E-OE, with x-and y-components given by the following equations. เพื.ch . (VRE. _ (Vcel. We choose a reference system with the positive x-axis in the eastward direction and the positive y-axis vertically upward. In this frame of reference, OE = 35.0 km/h in the positive x- direction, and vRE Vrain in the negative y-direction. For the velocity components of the car and rain relative to the Earth, we have Your response differs from the correct answer by more than 109 Therefore, for the x-component of velocity of the rain relative to the car, we have Your response differs from the correct answer by more than 10%. Double check your calculations. km/h)--((no Your response differs from the correct answer by more than 10%. Double check your calculations. km/h), and for the y-component of velocity of the rain relative to the car,

Answer 1