Question

A man standing on horizontal road has to hold his umbrella at 37 with vertical to keep away the rain He finds that raindrops are hitting him vertically when he starts running at 6 m/s. The speed of raindrops with respect to ground is
a) 4 m/s
b) 6m/s
c) 10 m/s
d) 3m/s​

Answer 1

Answer:

here is your answer hope it helps

Answer 2

The speed of raindrops with respect to ground is c) 10 m/s

• Assuming the situation as a right angled triangle.
• His speed when he runs = 6 m/s ($v_{m}$) in x-axis
• Angle of incline = 37 degrees w.r.t to the vertical
• Let the speed of rain be v$_{r}$ but w.r.t to man the speed of rain is v$_{m}$ (x axis) -v(y axis)

         tan 37° = $\frac{6}{v}$

             $\frac{3}{4} =\frac{6}{v} \\v= 8$

Therfore speed of rain = 6i - 8j

Total numerical value of speed of rain is $\sqrt{6^{2}+8^{2}$

                                                                   $\sqrt{36+64}$

                                                                  = 10 m/s