One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second snowball at a low angle and time it to arrive at the same time as the first. Assume both snowballs are thrown with the same initial speed 20.5 m/s. The first snowball is thrown at an angle of 68◦ above the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? The acceleration of gravity is 9.8 m/s 2 . Answer in units of ◦ .

Question
Asked Oct 10, 2019

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While your opponent is watching this first snowball, you throw a second snowball at a low angle and time it to arrive at the same time as the first. Assume both snowballs are thrown with the same initial speed 20.5 m/s. The first snowball is thrown at an angle of 68◦ above the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? The acceleration of gravity is 9.8 m/s 2 . Answer in units of ◦ .

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Expert Answer

Step 1

Given:

For first ball, θ1 = 68ο

initial velocity for both the balls, u = 20.5 m/s

for second ball, θ2 = ?

R-
A
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R- A

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Step 2

since distance covered by both the balls is same.

Therefore,...

2ndball
1stball
u2 sin 2
u sin 20
sin 20 sin 202
1
e, =sin(sin 20,)
2
plug in the values
'(sin 2x 68
2 sin
1
- sin
ө,
1(sin 136°
1
sin(0.69)
в,
2
1
в,
Ex 44°
2
e22°
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2ndball 1stball u2 sin 2 u sin 20 sin 20 sin 202 1 e, =sin(sin 20,) 2 plug in the values '(sin 2x 68 2 sin 1 - sin ө, 1(sin 136° 1 sin(0.69) в, 2 1 в, Ex 44° 2 e22°

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