A man kicks the 150-g ball such that it leaves the ground at an angle of 60° and strikes the ground at the same elevation a distance of 12 m away (14 points). Determine: (a). The velocity of the ball instantly after the man kicks the ball; (6 points) (b). Determine the impulse of his foot on the ball at A. (8 points) Neglect the impulse caused by the ball’s weight while it’s being kicked.

Explanation:

m = Mass of ball = 150 g

= Angle of kick =

= Displacement of ball in x direction = 12 m

Range of projectile is given by

The velocity of the ball instantly after the man kicks the ball is

Impulse is given by

The impulse of his foot on the ball is .

= initial pressure

= final pressure = 2

= initial volume

= final volume = /4

= initial temperature = 20 c = 20 + 273 = 293 k

= final temperature = ?

using the equation