cristiano ronaldo dares lionel messi to knock over a can on the ground using a s

Question

cristiano ronaldo dares lionel messi to knock over a can on the ground using a soccer ball. if messi does, ronaldo will give him 1 million dollars. Messi kicks the soccer ball from the ground with an initial speed of 16.0m.

a. what is the speed of the ball just before it hits the ground?. sketch vector vf.

b. Messi kicks the ball at an angle of 49degrees above the horizontal. how long was the ball in the air?

c.at what (horizontal) distance would the can have to be for messi to win 1 million dollars?

Explanation / Answer

(A) vertical position of initial and final location are same.

hence speed will be same. ( direction will be different only. initially above the horizontal and finally below the horizontal)

v= 16 m/s

(b) in vertical,

displacement = 0 ( same vertical position)

initial velocity = 16 sin49

Applying d = ut + a t^2 / 2

0 = 16 sin49 t - 9.8 t^2 /2

t = 2 x 16 x sin49 / 9.8 = 2.46 sec

(c) h = (v cos49) t

h = 16 x cos49 x 2.46 = 25.8 m

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