Please show me a clear, and detailed solution One strategy in a snowball fight i

Question

Please show me a clear, and detailed solution

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 25.0 m/s. The first one is thrown at an angle of 70.0 degree with respect to the horizontal. At what angle should the second snowball be thrown to arrive at the same point as the first? How many seconds later should the second snowball be thrown after the first to arrive at the same time?

Explanation / Answer

Y=Voyt+(1/2)ayt1^2

=>t1 =-2Voy/ay =-2*(25sin70)/(-9.8)

t1 =4.79 s

horizontal range of snowball is

R1 =Voxt1 =[25cos70]*4.79 =41 m

t2 =-2(25sin(a))/(-9.8) =5.1sin(a)

R2=Voxt2=R1

41 =(25cos(a))(5.1sin(a))

sin(a)cos(a) =0.321

2sin(a)cos(a) =0.642

sin(2a) =0.642

2a =sin^-1(0.642) =40

a =20 degrees

b)

t2 =5.1sin20 =1.74 s

t=t1-t2=4.79-1.74

t=3.05 s

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