# Rain appears to be fallin at at angle of 37 degree with vertical to the driver of a car moving with a velocity 7m/sec. Whwn he increases the velocity of the car to 25 m/sec, the rain again appears to fall at an angle 37 degree wjth vertical. What is the actual velocity of rain and its direction with vertical?

Aman Bansal
592 Points
10 years ago

Dear Pooja,

Solve for b and c first:

 Horizontal Vertical s = ?u = 75.2cos34.5o = 61.9743 m/sv = "a = 0t = ? s = 0u = 75.2sin34.5o = 42.5937 m/sv = -42.5937 m/s (hitting level ground)a = -9.8 m/s/st = ? Use:v = u + at-42.5937 = 42.5937 + -9.80tt = 8.6926 s = 8.69 s (b) Use:vav = Ds/Dt61.9743 m/s = Ds/8.6926 ss = 538.7 m = 539 m (c)

now solve a:

 Horizontal Vertical s = ?u = 75.2cos34.5o = 61.9743 m/sv = "a = 0t = ? s = ????u = 75.2sin34.5o = 42.5937 m/sv = 0 (at the top)a = -9.8 m/s/st = ? Use:v2 = u2 + 2as02 = (42.5937)2 + 2(-9.8 m/s/s)ss = 92.56 m = 92.6 m (a)

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Thanks

Aman Bansal