Question

The car is travelling at a speed of 100 km/h and as it decelerates at 2 m/s^2. If the rain is falling at 6 m/s in the direction shown, determine the velocity and acceleration of the rain as seen by the driver.

Asst 3.pdf (1 page) 2- The car is traveling at a speed of 100 km/h and as it decelerates at 2m/s2. If the rain is falling at 6 m/s in the direction shown, determine the velocity and acceleration of the rain as seen by the driver. vc = 100 km/h

Answer 1

solutions ac - 2 m/sec Days Ve=100 kom/hr Ver 100 rem) en Velouty of car Vc = 100 km = 100 x 5 m/sec = 27.78 m/sec Velouty vector Diagram of Using law of Parallelogram for detering the Relative velocity of rain falling with respect to driver. 30 sinen) Noto Resultant velouty (ie. Velouty of Rair will respect a to driver ) Vi = Suz+V? + 2 vo Ve cosa = 127.78) 2 6² + 2x6x 27.78 Vc = 27.78 m/sec 1200 & Cos 120° P 1200 Vr = 25.316 m/s & Ve=6 m/sec And

Acceleration of rain with respect to Drines. By Parallelogram low : ac= 2 m/s2 Now (ie Resultant aech auch worst Driver) acon og rain Are Jaz tar+ 20 Ao cosa sar at aa=g = (2 24 (9.819² + 2X 2X 9. 8 1 X Cos 120 acch due to gravity of Earth = 8.978 m/s2 { let g = 9.81 m/s2) Tra 8.978 m/s2