Question

Figure 1: RELATIVE SPEED ATA ROUNDABOUT V1 (0 V2

Referring to Figure 1 (in separate file), calculate the relative speed (in km/h) between the two vehicles at Point A assuming that at this point the speed of vehicle V1 is 44km/h, the speed of vehicle V2 is 34km/h and the angle of incidence ? is 41°. Express you answer to the nearest whole number. 1,682

Answer 1

Rightarrow Relative speed about Round about: - Velocity of Vehicle 1 , v_1 = 44km/h Velocity of Vehicle 2 , v_2 = 34 km/h Angle of Incidence, theta = 41compositefunction Since , both the vehicle are meeting at an angle pg 41compositefunction , we can find relative speed as a Resultant of these velocity vectors. At point A , Now, resultant velicoty, v_r = squareroot v^2_1 + v^2_2 - 2v_1v_2 costheta v_r = Squareroot44^2 + 34^2 - 2 times 44 times 34 cos(41compositefunction) v_r = 28.87 km/h almostequalto 29km/h (nearest whole number) So,relative velocity = 29 km/h