One strategy in a snowball fight is to throw a snowball at a high angle over lev

Question

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching the first one, a second snowball is thrown at a low angle timed to arrive before or at the same time as the first one. Assume both snowballs are thrown with a speed of 20.0 m/s. The first one is thrown at an angle of 75.0° with respect to the horizontal.

(a) At what angle should the second (low angle) snowball be thrown to arrive at the same point as the first?

(b) How many seconds later should the second snowball be thrown after the first to arrive at the same time?

Explanation / Answer

(a)

angle = 90 - 75 = 15 degrees

(b)

time interval T = 2*v*sintheta/g

for theta1 = 75

T1 = (2*20*sin75/9.8 = 3.942 s

for theta 2 = 15

T2 = 2*20*sin15/9.8 = 1.056 s

the second snowball be thrown after (3.942-1.056) = 2.886 s

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