85_Physics ProblemsTechnical Physics

85_Physics ProblemsTechnical Physics - 86 P4.12 Motion in...

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86 Motion in Two Dimensions P4.12 The mug is a projectile from just after leaving the counter until just before it reaches the floor. Taking the origin at the point where the mug leaves the bar, the coordinates of the mug at any time are x v t a t v t f xi x xi = + = + 1 2 0 2 and y v t a t g t f yi y = + = 1 2 0 1 2 2 2 . When the mug reaches the floor, y h f = − so = − h g t 1 2 2 which gives the time of impact as t h g = 2 . (a) Since x d f = when the mug reaches the floor, x v t f xi = becomes d v h g xi = 2 giving the initial velocity as
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