103_Physics ProblemsTechnical Physics

103_Physics ProblemsTechnical Physics - 104 P4.55 Motion in...

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104 Motion in Two Dimensions P4.55 The special conditions allowing use of the horizontal range equation applies. For the ball thrown at 45°, DR v g i == 45 2 90 sin . For the bouncing ball, DR R v gg i v i =+= + 12 2 2 2 2 2 sin sin θ ej where is the angle it makes with the ground when thrown and when bouncing. (a) We require: v g v g v g ii i 22 2 4 2 4 5 26 6 =+ = sin sin sin . θθ FIG. P4.55 (b) The time for any symmetric parabolic flight is given by yv t g t vt g t fy i =− 1 2 0 1 2 2 2 sin . If t = 0 is the time the ball is thrown, then
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