Raindrops

The car runs on a horizontal track at a constant speed of 20 m2-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s.
a) How fast is the speed of the drops relative to the car windows?
b) What is the angle of the raindrops on the car window with the vertical direction?

Final Answer:

v =  20.8806 m/s
α =  73.3008 °

Step-by-step explanation:

v1=20 m/s v2=6 m/s  v2 = v12+v22 v=v12+v22=202+62=2 109=20.8806 m/s
tanα=v1:v2=20:6=3103.3333=10:3  α=π180°arctan(v1/v2)=π180°arctan(20/6)=73.3008=73°183"



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Our vector sum calculator can add two vectors given by their magnitudes and by included angle.
Do you want to convert velocity (speed) units?
See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

geometryarithmeticplanimetrygoniometry and trigonometryUnits of physical quantitiesthemes, topicsGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: