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One strategy in a snowball fight is to throw a snowball at a highangle over leve

ID: 1736261 • Letter: O

Question

One strategy in a snowball fight is to throw a snowball at a highangle over level ground. While your opponent is watching thatsnowball, you throw a second one at a low angle timed to arrivebefore or at the same time as the first one. Assume that bothsnowballs are thrown with a speed of 35.0 m/s. The first one is thrown at an angle of75.0°with respect to the horizontal. (a) At what angle should the second snowball bethrown to arrive at the same point as the first?


(b) How many seconds later should the second snowball be thrownafter the first in order for both to arrive at the same time?
2 s (a) At what angle should the second snowball bethrown to arrive at the same point as the first?


(b) How many seconds later should the second snowball be thrownafter the first in order for both to arrive at the same time?
2 s

Explanation / Answer

part a) we know that in the case of a projectile for the same range we canhave two angles of projection and 90- first angle is 750 so second snow ball should be thrown at an angle of90-75=150 time of flight for the firstball -time of flight for the second ball= 2usin75/g- 2usin15/g=2u[sin75-sin15]/g=2*35*0.7071/9.8=5.050sec How many seconds later should the second snowball be thrown afterthe first in order for both to arrive at the same time? 2 s 5.050sec