posted by Emily on .
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 12.6 m/s. The ﬁrst
snowball is thrown at an angle of 60
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
Answer in units of
You use this service a lot. How about showing your own work and/or thoughts for a change??
In this case, they are asking for wnat other angle will cause the snowball to reach the same spot, when thrown at the same velocity, Vo.
Learn (or derive) this formula:
Range = (Vo^2/g)*sin(2A)
Since the range is proportional to the sine of twice the launch angle A, the other angle is 30 degrees. The sines of 60 and 120 degrees are the same. The time of flight will be less when thrown at 30 degrees.