One strategy in a snowball fight is to throw a snowball at a highangle over level ground. Then, while your opponent is watchingthat snowball, you throw a second one at a low angle timedto arrive before or at the same time as the first one. Assumeboth snowballs are thrown with a speed of 25.0 m/s. The first is thrown at an angle of 70.0° with respect to the horizontal.(a) At what angle should the second snowball be thrown toarrive at the same point as the first? (b) How many secondslater should the second snowball be thrown after the first forboth to arrive at the same time?

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Asked Dec 17, 2019
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One strategy in a snowball fight is to throw a snowball at a high
angle over level ground. Then, while your opponent is watching
that snowball, you throw a second one 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 25.0 m/s. The first is thrown at an angle of 70.0° with respect to the horizontal.
(a) At what angle should the second 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 for
both to arrive at the same time?

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Expert Answer

Step 1

(a). The range for the both snow balls should be equal.

So the angle at which the second snowball be thrown to arrive at the same point as the first is

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0 = 90° – 70° = 20°

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Step 2

(b) write the expression for time of flight,...

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2vsin e t = 2(25 m/s)sin 70° 9.8m/s = 4.79s 2(25m/s)sin 20° t, 9.8m/s =1.74s

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